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Finding the Fourth Proportional to 18,560.13, 27,841 and 5,413.62

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Solution

The fourth proportional to 18,560.13, 27,841 and 5,413.62 is: 8,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,560.13 : 27,841 = 5,413.62 : x
  2. Step 2: Convert to fraction form
    18,560.13/27,841 = 5,413.62/x
  3. Step 3: Cross multiply
    18,560.13x = 27,841 × 5,413.62
  4. Step 4: Simplify right side
    18,560.13x = 150,720,594.42
  5. Step 5: Solve for x
    x = 150,720,594.42/18,560.13
  6. Step 6: Final answer
    x = 8,120.66

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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.