A 4-pound bag of plums costs $14.72. What is the price per ounce?

To find the price per ounce, we need to know how many ounces are in a 4-pound bag.

There are 16 ounces in 1 pound, so there are 16 x 4 = <<16*4=64>>64 ounces in a 4-pound bag.

The price per ounce is $14.72 / 64 ounces = $0.23 per ounce. Answer: \boxed{0.23}.