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Finding the Fourth Proportional to 12,149.97, 18,183.64 and 7,467.52

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Solution

The fourth proportional to 12,149.97, 18,183.64 and 7,467.52 is: 11,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.97 : 18,183.64 = 7,467.52 : x
  2. Step 2: Convert to fraction form
    12,149.97/18,183.64 = 7,467.52/x
  3. Step 3: Cross multiply
    12,149.97x = 18,183.64 × 7,467.52
  4. Step 4: Simplify right side
    12,149.97x = 135,786,567.12
  5. Step 5: Solve for x
    x = 135,786,567.12/12,149.97
  6. Step 6: Final answer
    x = 11,175.88

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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.