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Finding the Fourth Proportional to 20,727, 31,092.12 and 6,876

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Solution

The fourth proportional to 20,727, 31,092.12 and 6,876 is: 10,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,727 : 31,092.12 = 6,876 : x
  2. Step 2: Convert to fraction form
    20,727/31,092.12 = 6,876/x
  3. Step 3: Cross multiply
    20,727x = 31,092.12 × 6,876
  4. Step 4: Simplify right side
    20,727x = 213,789,417.12
  5. Step 5: Solve for x
    x = 213,789,417.12/20,727
  6. Step 6: Final answer
    x = 10,314.54

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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.