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Finding the Fourth Proportional to 12,132.74, 18,198.90 and 5,465.52

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Solution

The fourth proportional to 12,132.74, 18,198.90 and 5,465.52 is: 8,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.74 : 18,198.90 = 5,465.52 : x
  2. Step 2: Convert to fraction form
    12,132.74/18,198.90 = 5,465.52/x
  3. Step 3: Cross multiply
    12,132.74x = 18,198.90 × 5,465.52
  4. Step 4: Simplify right side
    12,132.74x = 99,466,451.93
  5. Step 5: Solve for x
    x = 99,466,451.93/12,132.74
  6. Step 6: Final answer
    x = 8,198.19

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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.