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Finding the Fourth Proportional to 19,432, 29,152.92 and 5,581

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Solution

The fourth proportional to 19,432, 29,152.92 and 5,581 is: 8,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432 : 29,152.92 = 5,581 : x
  2. Step 2: Convert to fraction form
    19,432/29,152.92 = 5,581/x
  3. Step 3: Cross multiply
    19,432x = 29,152.92 × 5,581
  4. Step 4: Simplify right side
    19,432x = 162,702,446.52
  5. Step 5: Solve for x
    x = 162,702,446.52/19,432
  6. Step 6: Final answer
    x = 8,372.91

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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.