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Finding the Fourth Proportional to 20,517.99, 30,781.10 and 7,866.82

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Solution

The fourth proportional to 20,517.99, 30,781.10 and 7,866.82 is: 11,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.99 : 30,781.10 = 7,866.82 : x
  2. Step 2: Convert to fraction form
    20,517.99/30,781.10 = 7,866.82/x
  3. Step 3: Cross multiply
    20,517.99x = 30,781.10 × 7,866.82
  4. Step 4: Simplify right side
    20,517.99x = 242,149,373.10
  5. Step 5: Solve for x
    x = 242,149,373.10/20,517.99
  6. Step 6: Final answer
    x = 11,801.81

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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.