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, 23, ['6617', '5179', 'c', '1315', 'N', '8751', 'w', '8265', '2481', '6653', '6727', 'i', 'Q', '8989', '5395', '1353', 'T', '4281', '1929', 'q', 'W', 'D', 'i', '3215', 'z', 'a', '5073', '4867', '1843']