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Finding the Fourth Proportional to 13,909.64, 20,857.98 and 8,067.92

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Solution

The fourth proportional to 13,909.64, 20,857.98 and 8,067.92 is: 12,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.64 : 20,857.98 = 8,067.92 : x
  2. Step 2: Convert to fraction form
    13,909.64/20,857.98 = 8,067.92/x
  3. Step 3: Cross multiply
    13,909.64x = 20,857.98 × 8,067.92
  4. Step 4: Simplify right side
    13,909.64x = 168,280,514.00
  5. Step 5: Solve for x
    x = 168,280,514.00/13,909.64
  6. Step 6: Final answer
    x = 12,098.12

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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.