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Finding the Fourth Proportional to 10,658.24, 14,714.68 and 9,476.04

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Solution

The fourth proportional to 10,658.24, 14,714.68 and 9,476.04 is: 13,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.24 : 14,714.68 = 9,476.04 : x
  2. Step 2: Convert to fraction form
    10,658.24/14,714.68 = 9,476.04/x
  3. Step 3: Cross multiply
    10,658.24x = 14,714.68 × 9,476.04
  4. Step 4: Simplify right side
    10,658.24x = 139,436,896.27
  5. Step 5: Solve for x
    x = 139,436,896.27/10,658.24
  6. Step 6: Final answer
    x = 13,082.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.