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Finding the Fourth Proportional to 11,314.81, 16,902.68 and 8,167.96

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Solution

The fourth proportional to 11,314.81, 16,902.68 and 8,167.96 is: 12,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.81 : 16,902.68 = 8,167.96 : x
  2. Step 2: Convert to fraction form
    11,314.81/16,902.68 = 8,167.96/x
  3. Step 3: Cross multiply
    11,314.81x = 16,902.68 × 8,167.96
  4. Step 4: Simplify right side
    11,314.81x = 138,060,414.13
  5. Step 5: Solve for x
    x = 138,060,414.13/11,314.81
  6. Step 6: Final answer
    x = 12,201.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.