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Finding the Fourth Proportional to 22,581.62, 33,874.18 and 6,785.42

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Solution

The fourth proportional to 22,581.62, 33,874.18 and 6,785.42 is: 10,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.62 : 33,874.18 = 6,785.42 : x
  2. Step 2: Convert to fraction form
    22,581.62/33,874.18 = 6,785.42/x
  3. Step 3: Cross multiply
    22,581.62x = 33,874.18 × 6,785.42
  4. Step 4: Simplify right side
    22,581.62x = 229,850,470.73
  5. Step 5: Solve for x
    x = 229,850,470.73/22,581.62
  6. Step 6: Final answer
    x = 10,178.65

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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.