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Finding the Fourth Proportional to 13,469.89, 20,205.92 and 3,609.08

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Solution

The fourth proportional to 13,469.89, 20,205.92 and 3,609.08 is: 5,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.89 : 20,205.92 = 3,609.08 : x
  2. Step 2: Convert to fraction form
    13,469.89/20,205.92 = 3,609.08/x
  3. Step 3: Cross multiply
    13,469.89x = 20,205.92 × 3,609.08
  4. Step 4: Simplify right side
    13,469.89x = 72,924,781.75
  5. Step 5: Solve for x
    x = 72,924,781.75/13,469.89
  6. Step 6: Final answer
    x = 5,413.91

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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.