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Finding the Fourth Proportional to 21,614.63, 32,414.13 and 9,135.62

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Solution

The fourth proportional to 21,614.63, 32,414.13 and 9,135.62 is: 13,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.63 : 32,414.13 = 9,135.62 : x
  2. Step 2: Convert to fraction form
    21,614.63/32,414.13 = 9,135.62/x
  3. Step 3: Cross multiply
    21,614.63x = 32,414.13 × 9,135.62
  4. Step 4: Simplify right side
    21,614.63x = 296,123,012.24
  5. Step 5: Solve for x
    x = 296,123,012.24/21,614.63
  6. Step 6: Final answer
    x = 13,700.12

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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.