$($Present value of complex cash flows$)$ How much do you have to deposit today so that beginning $11$ years from now you can withdraw $$15,000$ a year for the next $7$ years $($periods $11$ through $17)$ plus an additional amount of $$30,000$ in the last year $($period $17)?$ Assume an interest rate of $7$ percent.

The amount of money you have to deposit today is $ $($Round to the nearest cent.$)$