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Finding the Fourth Proportional to 22,865.46, 34,297.17 and 9,532.97

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Solution

The fourth proportional to 22,865.46, 34,297.17 and 9,532.97 is: 14,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.46 : 34,297.17 = 9,532.97 : x
  2. Step 2: Convert to fraction form
    22,865.46/34,297.17 = 9,532.97/x
  3. Step 3: Cross multiply
    22,865.46x = 34,297.17 × 9,532.97
  4. Step 4: Simplify right side
    22,865.46x = 326,953,685.46
  5. Step 5: Solve for x
    x = 326,953,685.46/22,865.46
  6. Step 6: Final answer
    x = 14,299.02

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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.