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Finding the Fourth Proportional to 22,571.38, 33,861 and 9,432.97

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Solution

The fourth proportional to 22,571.38, 33,861 and 9,432.97 is: 14,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.38 : 33,861 = 9,432.97 : x
  2. Step 2: Convert to fraction form
    22,571.38/33,861 = 9,432.97/x
  3. Step 3: Cross multiply
    22,571.38x = 33,861 × 9,432.97
  4. Step 4: Simplify right side
    22,571.38x = 319,409,797.17
  5. Step 5: Solve for x
    x = 319,409,797.17/22,571.38
  6. Step 6: Final answer
    x = 14,151.10

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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.