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Finding the Fourth Proportional to 12,413.20, 17,134.72 and 8,222.80

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Solution

The fourth proportional to 12,413.20, 17,134.72 and 8,222.80 is: 11,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.20 : 17,134.72 = 8,222.80 : x
  2. Step 2: Convert to fraction form
    12,413.20/17,134.72 = 8,222.80/x
  3. Step 3: Cross multiply
    12,413.20x = 17,134.72 × 8,222.80
  4. Step 4: Simplify right side
    12,413.20x = 140,895,375.62
  5. Step 5: Solve for x
    x = 140,895,375.62/12,413.20
  6. Step 6: Final answer
    x = 11,350.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.