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Finding the Fourth Proportional to 20,979.35, 31,469.45 and 7,829.10

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Solution

The fourth proportional to 20,979.35, 31,469.45 and 7,829.10 is: 11,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979.35 : 31,469.45 = 7,829.10 : x
  2. Step 2: Convert to fraction form
    20,979.35/31,469.45 = 7,829.10/x
  3. Step 3: Cross multiply
    20,979.35x = 31,469.45 × 7,829.10
  4. Step 4: Simplify right side
    20,979.35x = 246,377,431.85
  5. Step 5: Solve for x
    x = 246,377,431.85/20,979.35
  6. Step 6: Final answer
    x = 11,743.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.