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Finding the Fourth Proportional to 20,517.80, 30,781.52 and 6,666.80

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Solution

The fourth proportional to 20,517.80, 30,781.52 and 6,666.80 is: 10,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.80 : 30,781.52 = 6,666.80 : x
  2. Step 2: Convert to fraction form
    20,517.80/30,781.52 = 6,666.80/x
  3. Step 3: Cross multiply
    20,517.80x = 30,781.52 × 6,666.80
  4. Step 4: Simplify right side
    20,517.80x = 205,214,237.54
  5. Step 5: Solve for x
    x = 205,214,237.54/20,517.80
  6. Step 6: Final answer
    x = 10,001.77

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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.