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Finding the Fourth Proportional to 12,167.10, 18,207.45 and 8,451.90

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Solution

The fourth proportional to 12,167.10, 18,207.45 and 8,451.90 is: 12,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.10 : 18,207.45 = 8,451.90 : x
  2. Step 2: Convert to fraction form
    12,167.10/18,207.45 = 8,451.90/x
  3. Step 3: Cross multiply
    12,167.10x = 18,207.45 × 8,451.90
  4. Step 4: Simplify right side
    12,167.10x = 153,887,546.66
  5. Step 5: Solve for x
    x = 153,887,546.66/12,167.10
  6. Step 6: Final answer
    x = 12,647.84

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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.