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Finding the Fourth Proportional to 21,732.27, 32,601.15 and 6,149.90

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Solution

The fourth proportional to 21,732.27, 32,601.15 and 6,149.90 is: 9,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.27 : 32,601.15 = 6,149.90 : x
  2. Step 2: Convert to fraction form
    21,732.27/32,601.15 = 6,149.90/x
  3. Step 3: Cross multiply
    21,732.27x = 32,601.15 × 6,149.90
  4. Step 4: Simplify right side
    21,732.27x = 200,493,812.39
  5. Step 5: Solve for x
    x = 200,493,812.39/21,732.27
  6. Step 6: Final answer
    x = 9,225.63

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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.