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: 2, 10, ['907', '3413', 'y', 'Y', 'y', '9671', '6631', 'g', '8803', '3127', 'k', 'Y', '413', '3871', '909', 'G', '4431', '6489', '7291', 'J', 'W', '6423', '641', 'G', '2545', '4471', '3717', '2671', '561']
Example Output: 31645

Example Input: 5, 23, ['6187', 'j', '9129', 'n', 'D', '6181', 'H', 'c', 'V', 'w', '4481', '9115', '1067', 'H', 'a', '1421', '7129', 'S', 'D', '6027', '8845', '3827', 'L']
Example Output: 48093

Example Input: 8, 12, ['H', 'j', '5277', 'c', '1453', 'i', '3571', '7589', '9667', 'c', '7051', 'F', 'T', '743', 'C', 'P', '229']
Example Output:
24307