Finding the Fourth Proportional to 20,808.24, 31,205.88 and 6,954
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Solution
The fourth proportional to 20,808.24, 31,205.88 and 6,954 is: 10,428.83
Step by Step Solution
- Step 1: Write the proportion equation
20,808.24 : 31,205.88 = 6,954 : x - Step 2: Convert to fraction form
20,808.24/31,205.88 = 6,954/x - Step 3: Cross multiply
20,808.24x = 31,205.88 × 6,954 - Step 4: Simplify right side
20,808.24x = 217,005,689.52 - Step 5: Solve for x
x = 217,005,689.52/20,808.24 - Step 6: Final answer
x = 10,428.83
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.