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Finding the Fourth Proportional to 20,584.74, 30,884.50 and 8,097.86

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Solution

The fourth proportional to 20,584.74, 30,884.50 and 8,097.86 is: 12,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.74 : 30,884.50 = 8,097.86 : x
  2. Step 2: Convert to fraction form
    20,584.74/30,884.50 = 8,097.86/x
  3. Step 3: Cross multiply
    20,584.74x = 30,884.50 × 8,097.86
  4. Step 4: Simplify right side
    20,584.74x = 250,098,357.17
  5. Step 5: Solve for x
    x = 250,098,357.17/20,584.74
  6. Step 6: Final answer
    x = 12,149.70

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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.