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Finding the Fourth Proportional to 21,414.43, 32,136.18 and 7,563.43

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Solution

The fourth proportional to 21,414.43, 32,136.18 and 7,563.43 is: 11,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.43 : 32,136.18 = 7,563.43 : x
  2. Step 2: Convert to fraction form
    21,414.43/32,136.18 = 7,563.43/x
  3. Step 3: Cross multiply
    21,414.43x = 32,136.18 × 7,563.43
  4. Step 4: Simplify right side
    21,414.43x = 243,059,747.90
  5. Step 5: Solve for x
    x = 243,059,747.90/21,414.43
  6. Step 6: Final answer
    x = 11,350.28

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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.