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Finding the Fourth Proportional to 12,147.68, 18,221.52 and 3,382.58

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Solution

The fourth proportional to 12,147.68, 18,221.52 and 3,382.58 is: 5,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.68 : 18,221.52 = 3,382.58 : x
  2. Step 2: Convert to fraction form
    12,147.68/18,221.52 = 3,382.58/x
  3. Step 3: Cross multiply
    12,147.68x = 18,221.52 × 3,382.58
  4. Step 4: Simplify right side
    12,147.68x = 61,635,749.12
  5. Step 5: Solve for x
    x = 61,635,749.12/12,147.68
  6. Step 6: Final answer
    x = 5,073.87

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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.