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Finding the Fourth Proportional to 21,251.81, 29,327.50 and 11,691.83

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Solution

The fourth proportional to 21,251.81, 29,327.50 and 11,691.83 is: 16,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.81 : 29,327.50 = 11,691.83 : x
  2. Step 2: Convert to fraction form
    21,251.81/29,327.50 = 11,691.83/x
  3. Step 3: Cross multiply
    21,251.81x = 29,327.50 × 11,691.83
  4. Step 4: Simplify right side
    21,251.81x = 342,892,144.33
  5. Step 5: Solve for x
    x = 342,892,144.33/21,251.81
  6. Step 6: Final answer
    x = 16,134.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.