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Finding the Fourth Proportional to 12,166.97, 18,250.94 and 3,847.14

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Solution

The fourth proportional to 12,166.97, 18,250.94 and 3,847.14 is: 5,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.97 : 18,250.94 = 3,847.14 : x
  2. Step 2: Convert to fraction form
    12,166.97/18,250.94 = 3,847.14/x
  3. Step 3: Cross multiply
    12,166.97x = 18,250.94 × 3,847.14
  4. Step 4: Simplify right side
    12,166.97x = 70,213,930.93
  5. Step 5: Solve for x
    x = 70,213,930.93/12,166.97
  6. Step 6: Final answer
    x = 5,770.87

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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.