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: 13, 14, ['7395', '8249', 'n', '935', 'q', 'P', '7179', '2683', '8163', '4747', '2501', 'z', '7601', '7115', 'y', '53']
Example Output: 14716

Example Input: 1, 4, ['2025', '6689', '1227', '3943', 'z', '719', '8941', 'b', 'V', 'w', '5267', '2403', 'N', '5771']
Example Output:
13884