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Finding the Fourth Proportional to 20,413.20, 30,576.60 and 16,006.80

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Solution

The fourth proportional to 20,413.20, 30,576.60 and 16,006.80 is: 23,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.20 : 30,576.60 = 16,006.80 : x
  2. Step 2: Convert to fraction form
    20,413.20/30,576.60 = 16,006.80/x
  3. Step 3: Cross multiply
    20,413.20x = 30,576.60 × 16,006.80
  4. Step 4: Simplify right side
    20,413.20x = 489,433,520.88
  5. Step 5: Solve for x
    x = 489,433,520.88/20,413.20
  6. Step 6: Final answer
    x = 23,976.33

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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.