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Finding the Fourth Proportional to 20,585.27, 30,870.17 and 8,098.47

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Solution

The fourth proportional to 20,585.27, 30,870.17 and 8,098.47 is: 12,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.27 : 30,870.17 = 8,098.47 : x
  2. Step 2: Convert to fraction form
    20,585.27/30,870.17 = 8,098.47/x
  3. Step 3: Cross multiply
    20,585.27x = 30,870.17 × 8,098.47
  4. Step 4: Simplify right side
    20,585.27x = 250,001,105.15
  5. Step 5: Solve for x
    x = 250,001,105.15/20,585.27
  6. Step 6: Final answer
    x = 12,144.66

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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.