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Finding the Fourth Proportional to 20,884.11, 31,327.44 and 8,404.11

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Solution

The fourth proportional to 20,884.11, 31,327.44 and 8,404.11 is: 12,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.11 : 31,327.44 = 8,404.11 : x
  2. Step 2: Convert to fraction form
    20,884.11/31,327.44 = 8,404.11/x
  3. Step 3: Cross multiply
    20,884.11x = 31,327.44 × 8,404.11
  4. Step 4: Simplify right side
    20,884.11x = 263,279,251.78
  5. Step 5: Solve for x
    x = 263,279,251.78/20,884.11
  6. Step 6: Final answer
    x = 12,606.68

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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.