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.

4, 5, ['1069', '5265', '349', '1111', '8939', '2645', '1783', '3819', 'U', '5327', '8503', '7829', 'M', 'V', 'H', '6043', 'C', '2561', 'T', '7305', '147', '6099', '4261', '4877']
10050