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Finding the Fourth Proportional to 22,171.50, 33,257.25 and 21,613.86

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Solution

The fourth proportional to 22,171.50, 33,257.25 and 21,613.86 is: 32,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.50 : 33,257.25 = 21,613.86 : x
  2. Step 2: Convert to fraction form
    22,171.50/33,257.25 = 21,613.86/x
  3. Step 3: Cross multiply
    22,171.50x = 33,257.25 × 21,613.86
  4. Step 4: Simplify right side
    22,171.50x = 718,817,545.49
  5. Step 5: Solve for x
    x = 718,817,545.49/22,171.50
  6. Step 6: Final answer
    x = 32,420.79

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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.