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Finding the Fourth Proportional to 12,086.62, 18,112.71 and 9,441.97

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Solution

The fourth proportional to 12,086.62, 18,112.71 and 9,441.97 is: 14,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.62 : 18,112.71 = 9,441.97 : x
  2. Step 2: Convert to fraction form
    12,086.62/18,112.71 = 9,441.97/x
  3. Step 3: Cross multiply
    12,086.62x = 18,112.71 × 9,441.97
  4. Step 4: Simplify right side
    12,086.62x = 171,019,654.56
  5. Step 5: Solve for x
    x = 171,019,654.56/12,086.62
  6. Step 6: Final answer
    x = 14,149.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.