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Finding the Fourth Proportional to 13,909.07, 20,729.78 and 13,687.64

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Solution

The fourth proportional to 13,909.07, 20,729.78 and 13,687.64 is: 20,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.07 : 20,729.78 = 13,687.64 : x
  2. Step 2: Convert to fraction form
    13,909.07/20,729.78 = 13,687.64/x
  3. Step 3: Cross multiply
    13,909.07x = 20,729.78 × 13,687.64
  4. Step 4: Simplify right side
    13,909.07x = 283,741,645.16
  5. Step 5: Solve for x
    x = 283,741,645.16/13,909.07
  6. Step 6: Final answer
    x = 20,399.76

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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.