In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
19, 25, ['i', 'i', 'n', 'P', '9567', '1779', '8421', '6875', '767', 'J', '9317', '4291', '8549', '3041', '1661', 'z', 'z', '7711', 'p', '4177', '8817', '8139', 'J', '1689', '6189', 'k', 'O', '2523', 'f']