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: 10, 13, ['W', '5479', 'v', '2193', '8465', '3805', 'e', '7721', '983', 'i', '7843', '6803', '9901', 'K', '375', '165', 'M', 'P', 'a', 'J']
Example Output: 24547

Example Input: 6, 12, ['q', '8055', '5233', '5529', 'T', 'h', 'w', 'w', '9449', 'W', '7903', 'b', '6925']
Example Output: 17352

Example Input: 3, 7, ['3979', 'o', '3653', '5143', 'q', 'k', 'b', '5639', '1211', '2655', 'z', 'e', '707', '3443', '3913', 'M', '4811']
Example Output:
8796