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.

Example Input: 3, 18, ['5593', '9147', 'F', 'O', '3355', '4669', 'j', '8117', 'I', '6935', 'x', 'Z', 'q', '8919', 'F', 'j', 'z', '215', '1761', 'y', '9889', '5557', 'p', 'm', '9293', '4673', 'X', '9519', '6099']
Example Output: 32210

Example Input: 1, 14, ['T', 'y', 'L', 'l', '5307', 'j', '2235', '9617', 'e', '7687', 't', '4357', '1745', 'X', '8485', 'a', '1387', '1351', '6437', 'u']
Example Output: 30948

Example Input: 3, 13, ['a', '4017', '5317', '6143', 'F', 'z', 's', 't', '2871', '9285', '1021', '9735', '9223']
Example Output:
43595