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Finding the Fourth Proportional to 12,151.89, 18,207.31 and 7,462.12

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Solution

The fourth proportional to 12,151.89, 18,207.31 and 7,462.12 is: 11,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.89 : 18,207.31 = 7,462.12 : x
  2. Step 2: Convert to fraction form
    12,151.89/18,207.31 = 7,462.12/x
  3. Step 3: Cross multiply
    12,151.89x = 18,207.31 × 7,462.12
  4. Step 4: Simplify right side
    12,151.89x = 135,865,132.10
  5. Step 5: Solve for x
    x = 135,865,132.10/12,151.89
  6. Step 6: Final answer
    x = 11,180.58

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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.