I already happened to know that 5 quarters weighs 1 ounce (it's how my postage scale company recommends that you check the scale for accuracy), so I decided to take this a little further.
I just used the scale to determine how many coins of each of the other denominations equal 1 ounce.
Thirteen dimes weigh 1 ounce.
Approximately 6 nickles weigh 1 ounce (I only had 5, but judging by how much they each weighed, this is pretty accurate).
Approximately 10 pennies weigh 1 ounce (I had fewer than 10, but, again, this seems pretty accurate).
OK, now let's assume that there is an even weight distribution among the different coins. This is the weak link in my calculations, but I'm not sure how else to do this.
23.25 pounds equals 372 ounces. 372 ounces divided by 4 (the number of different types of coins) is 93 ounces. So there are 93 ounces of each particular type of coin.
Quarters: 93 x 5 = 465 / 4 = $116.25
Dimes: 93 x 13 = 1209 / 10 = $120.90
Nickles: 93 x 6 = 558 / 20 = $27.90
Pennies: 93 x 10 = 930 / 100 = $9.30
_____________
Total $274.35
So that's my guess: $274.35.
Now that I've taken my break doing this (some would say "wasted my time" ), let me get back to work.
P.S. Congratulations on paying off your mortgage!