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: 28, 29, ['9439', '4749', 'b', '5065', 'W', '3631', '4647', '2367', '7155', 'X', 'R', '7889', '3135', '5547', 'C', 'j', 'b', 'e', 'U', 'Y', '8799', 'z', 'h', '7759', '1913', '6103', 'y', 'M', 'B']
Example Output: 0

Example Input: 3, 14, ['D', 'Q', 'W', '3925', '7569', '2455', '9499', 'A', '3205', '9459', 't', '9053', 'q', 'T']
Example Output: 45165

Example Input: 5, 12, ['y', '6263', '1437', '4617', 'o', 'K', 'K', 'N', '6871', 'I', '5417', '6471', '4937', '5851', 'c', '9287', 'D', '2555', 'G']
Example Output:
18759