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Finding the Fourth Proportional to 12,413.88, 17,134.38 and 8,220.60

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Solution

The fourth proportional to 12,413.88, 17,134.38 and 8,220.60 is: 11,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.88 : 17,134.38 = 8,220.60 : x
  2. Step 2: Convert to fraction form
    12,413.88/17,134.38 = 8,220.60/x
  3. Step 3: Cross multiply
    12,413.88x = 17,134.38 × 8,220.60
  4. Step 4: Simplify right side
    12,413.88x = 140,854,884.23
  5. Step 5: Solve for x
    x = 140,854,884.23/12,413.88
  6. Step 6: Final answer
    x = 11,346.56

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Why These Related Problems?

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