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Finding the Fourth Proportional to 21,614.11, 32,398.96 and 8,283.49

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Solution

The fourth proportional to 21,614.11, 32,398.96 and 8,283.49 is: 12,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.11 : 32,398.96 = 8,283.49 : x
  2. Step 2: Convert to fraction form
    21,614.11/32,398.96 = 8,283.49/x
  3. Step 3: Cross multiply
    21,614.11x = 32,398.96 × 8,283.49
  4. Step 4: Simplify right side
    21,614.11x = 268,376,461.17
  5. Step 5: Solve for x
    x = 268,376,461.17/21,614.11
  6. Step 6: Final answer
    x = 12,416.73

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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.