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Finding the Fourth Proportional to 13,740.93, 20,614.59 and 5,843.88

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Solution

The fourth proportional to 13,740.93, 20,614.59 and 5,843.88 is: 8,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.93 : 20,614.59 = 5,843.88 : x
  2. Step 2: Convert to fraction form
    13,740.93/20,614.59 = 5,843.88/x
  3. Step 3: Cross multiply
    13,740.93x = 20,614.59 × 5,843.88
  4. Step 4: Simplify right side
    13,740.93x = 120,469,190.21
  5. Step 5: Solve for x
    x = 120,469,190.21/13,740.93
  6. Step 6: Final answer
    x = 8,767.18

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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.