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: 7, 12, ['K', '5995', '5183', '67', '563', '9143', 'M', 'H', '2923', '1825', 'y', '373', 'm', 'w', 'x']
Example Output: 5121

Example Input: 14, 20, ['4221', '2381', 'i', 'm', 'c', 'F', '9703', '3529', 'a', '83', 'D', '1023', 'I', 'c', 'W', '7163', '341', 'w', '7855', '2317', '8989', '3629', 'b']
Example Output: 17676

Example Input: 3, 4, ['4043', '1999', '6469', 'Q']
Example Output:
6469