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Finding the Fourth Proportional to 22,402.78, 33,594.44 and 8,357.38

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Solution

The fourth proportional to 22,402.78, 33,594.44 and 8,357.38 is: 12,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.78 : 33,594.44 = 8,357.38 : x
  2. Step 2: Convert to fraction form
    22,402.78/33,594.44 = 8,357.38/x
  3. Step 3: Cross multiply
    22,402.78x = 33,594.44 × 8,357.38
  4. Step 4: Simplify right side
    22,402.78x = 280,761,500.97
  5. Step 5: Solve for x
    x = 280,761,500.97/22,402.78
  6. Step 6: Final answer
    x = 12,532.44

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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.