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Finding the Fourth Proportional to 22,354.56, 33,531.84 and 9,871.92

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Solution

The fourth proportional to 22,354.56, 33,531.84 and 9,871.92 is: 14,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.56 : 33,531.84 = 9,871.92 : x
  2. Step 2: Convert to fraction form
    22,354.56/33,531.84 = 9,871.92/x
  3. Step 3: Cross multiply
    22,354.56x = 33,531.84 × 9,871.92
  4. Step 4: Simplify right side
    22,354.56x = 331,023,641.93
  5. Step 5: Solve for x
    x = 331,023,641.93/22,354.56
  6. Step 6: Final answer
    x = 14,807.88

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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.