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Finding the Fourth Proportional to 13,413.40, 20,081.70 and 8,229.40

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Solution

The fourth proportional to 13,413.40, 20,081.70 and 8,229.40 is: 12,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.40 : 20,081.70 = 8,229.40 : x
  2. Step 2: Convert to fraction form
    13,413.40/20,081.70 = 8,229.40/x
  3. Step 3: Cross multiply
    13,413.40x = 20,081.70 × 8,229.40
  4. Step 4: Simplify right side
    13,413.40x = 165,260,341.98
  5. Step 5: Solve for x
    x = 165,260,341.98/13,413.40
  6. Step 6: Final answer
    x = 12,320.54

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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.