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.
1, 4, ['171', '1673', '4425', '3517', '9411', 'y', '7', 't', 'O', '2701', '6927', 'R', '445', '1921', '1019', '3639', '9465', 'x', '2351', '2125']