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Finding the Fourth Proportional to 20,204.60, 30,306.91 and 5,413.14

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Solution

The fourth proportional to 20,204.60, 30,306.91 and 5,413.14 is: 8,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.60 : 30,306.91 = 5,413.14 : x
  2. Step 2: Convert to fraction form
    20,204.60/30,306.91 = 5,413.14/x
  3. Step 3: Cross multiply
    20,204.60x = 30,306.91 × 5,413.14
  4. Step 4: Simplify right side
    20,204.60x = 164,055,546.80
  5. Step 5: Solve for x
    x = 164,055,546.80/20,204.60
  6. Step 6: Final answer
    x = 8,119.71

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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.