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Finding the Fourth Proportional to 12,160.73, 18,189.25 and 7,469.21

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Solution

The fourth proportional to 12,160.73, 18,189.25 and 7,469.21 is: 11,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.73 : 18,189.25 = 7,469.21 : x
  2. Step 2: Convert to fraction form
    12,160.73/18,189.25 = 7,469.21/x
  3. Step 3: Cross multiply
    12,160.73x = 18,189.25 × 7,469.21
  4. Step 4: Simplify right side
    12,160.73x = 135,859,327.99
  5. Step 5: Solve for x
    x = 135,859,327.99/12,160.73
  6. Step 6: Final answer
    x = 11,171.97

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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.