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Finding the Fourth Proportional to 23,773.92, 35,641.44 and 8,974.42

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Solution

The fourth proportional to 23,773.92, 35,641.44 and 8,974.42 is: 13,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.92 : 35,641.44 = 8,974.42 : x
  2. Step 2: Convert to fraction form
    23,773.92/35,641.44 = 8,974.42/x
  3. Step 3: Cross multiply
    23,773.92x = 35,641.44 × 8,974.42
  4. Step 4: Simplify right side
    23,773.92x = 319,861,251.96
  5. Step 5: Solve for x
    x = 319,861,251.96/23,773.92
  6. Step 6: Final answer
    x = 13,454.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.