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Finding the Fourth Proportional to 13,906.71, 20,853.82 and 8,287.02

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Solution

The fourth proportional to 13,906.71, 20,853.82 and 8,287.02 is: 12,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.71 : 20,853.82 = 8,287.02 : x
  2. Step 2: Convert to fraction form
    13,906.71/20,853.82 = 8,287.02/x
  3. Step 3: Cross multiply
    13,906.71x = 20,853.82 × 8,287.02
  4. Step 4: Simplify right side
    13,906.71x = 172,816,023.42
  5. Step 5: Solve for x
    x = 172,816,023.42/13,906.71
  6. Step 6: Final answer
    x = 12,426.81

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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.