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Finding the Fourth Proportional to 12,132.64, 18,198.32 and 3,924

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Solution

The fourth proportional to 12,132.64, 18,198.32 and 3,924 is: 5,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.64 : 18,198.32 = 3,924 : x
  2. Step 2: Convert to fraction form
    12,132.64/18,198.32 = 3,924/x
  3. Step 3: Cross multiply
    12,132.64x = 18,198.32 × 3,924
  4. Step 4: Simplify right side
    12,132.64x = 71,410,207.68
  5. Step 5: Solve for x
    x = 71,410,207.68/12,132.64
  6. Step 6: Final answer
    x = 5,885.79

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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.