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Finding the Fourth Proportional to 11,414.68, 17,120.96 and 8,097.13

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Solution

The fourth proportional to 11,414.68, 17,120.96 and 8,097.13 is: 12,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.68 : 17,120.96 = 8,097.13 : x
  2. Step 2: Convert to fraction form
    11,414.68/17,120.96 = 8,097.13/x
  3. Step 3: Cross multiply
    11,414.68x = 17,120.96 × 8,097.13
  4. Step 4: Simplify right side
    11,414.68x = 138,630,512.75
  5. Step 5: Solve for x
    x = 138,630,512.75/11,414.68
  6. Step 6: Final answer
    x = 12,144.94

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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.