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Finding the Fourth Proportional to 20,413.80, 30,543.42 and 12,098.28

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Solution

The fourth proportional to 20,413.80, 30,543.42 and 12,098.28 is: 18,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.80 : 30,543.42 = 12,098.28 : x
  2. Step 2: Convert to fraction form
    20,413.80/30,543.42 = 12,098.28/x
  3. Step 3: Cross multiply
    20,413.80x = 30,543.42 × 12,098.28
  4. Step 4: Simplify right side
    20,413.80x = 369,522,847.32
  5. Step 5: Solve for x
    x = 369,522,847.32/20,413.80
  6. Step 6: Final answer
    x = 18,101.62

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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.