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Finding the Fourth Proportional to 12,167.90, 18,251.72 and 3,847.91

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Solution

The fourth proportional to 12,167.90, 18,251.72 and 3,847.91 is: 5,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.90 : 18,251.72 = 3,847.91 : x
  2. Step 2: Convert to fraction form
    12,167.90/18,251.72 = 3,847.91/x
  3. Step 3: Cross multiply
    12,167.90x = 18,251.72 × 3,847.91
  4. Step 4: Simplify right side
    12,167.90x = 70,231,044.66
  5. Step 5: Solve for x
    x = 70,231,044.66/12,167.90
  6. Step 6: Final answer
    x = 5,771.83

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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.