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Finding the Fourth Proportional to 26,937.92, 40,413.24 and 8,469.92

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Solution

The fourth proportional to 26,937.92, 40,413.24 and 8,469.92 is: 12,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,937.92 : 40,413.24 = 8,469.92 : x
  2. Step 2: Convert to fraction form
    26,937.92/40,413.24 = 8,469.92/x
  3. Step 3: Cross multiply
    26,937.92x = 40,413.24 × 8,469.92
  4. Step 4: Simplify right side
    26,937.92x = 342,296,909.74
  5. Step 5: Solve for x
    x = 342,296,909.74/26,937.92
  6. Step 6: Final answer
    x = 12,706.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.