Find the present value that will grow to $\$ 27,000$ if interest is $7 \%$ compounded quarterly for 15 quarters.

Step 1 ：We are given a future value (FV) of $27,000, an annual interest rate (r) of 7% or 0.07, the interest is compounded quarterly so n = 4, and the money is invested for 15 quarters which is 15/4 = 3.75 years (t).

Step 2 ：We can find the present value (PV) using the formula: \(PV = \frac{FV}{(1 + \frac{r}{n})^{nt}}\)

Step 3 ：Substituting the given values into the formula, we get: \(PV = \frac{27000}{(1 + \frac{0.07}{4})^{4*3.75}}\)

Step 4 ：Calculating the above expression, we find that the present value is approximately $20,813.61

Step 5 ：\(\boxed{20813.61}\) is the present value that will grow to $27,000 if interest is 7% compounded quarterly for 15 quarters.