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Finding the Fourth Proportional to 21,461.92, 32,200.50 and 9,614.76

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Solution

The fourth proportional to 21,461.92, 32,200.50 and 9,614.76 is: 14,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.92 : 32,200.50 = 9,614.76 : x
  2. Step 2: Convert to fraction form
    21,461.92/32,200.50 = 9,614.76/x
  3. Step 3: Cross multiply
    21,461.92x = 32,200.50 × 9,614.76
  4. Step 4: Simplify right side
    21,461.92x = 309,600,079.38
  5. Step 5: Solve for x
    x = 309,600,079.38/21,461.92
  6. Step 6: Final answer
    x = 14,425.56

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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.