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Finding the Fourth Proportional to 20,658.39, 30,989.92 and 6,613.50

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Solution

The fourth proportional to 20,658.39, 30,989.92 and 6,613.50 is: 9,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.39 : 30,989.92 = 6,613.50 : x
  2. Step 2: Convert to fraction form
    20,658.39/30,989.92 = 6,613.50/x
  3. Step 3: Cross multiply
    20,658.39x = 30,989.92 × 6,613.50
  4. Step 4: Simplify right side
    20,658.39x = 204,951,716.52
  5. Step 5: Solve for x
    x = 204,951,716.52/20,658.39
  6. Step 6: Final answer
    x = 9,920.99

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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.