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Finding the Fourth Proportional to 20,456.71, 30,685.07 and 5,665.30

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Solution

The fourth proportional to 20,456.71, 30,685.07 and 5,665.30 is: 8,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.71 : 30,685.07 = 5,665.30 : x
  2. Step 2: Convert to fraction form
    20,456.71/30,685.07 = 5,665.30/x
  3. Step 3: Cross multiply
    20,456.71x = 30,685.07 × 5,665.30
  4. Step 4: Simplify right side
    20,456.71x = 173,840,022.03
  5. Step 5: Solve for x
    x = 173,840,022.03/20,456.71
  6. Step 6: Final answer
    x = 8,497.95

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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.