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Finding the Fourth Proportional to 26,942.39, 40,413.59 and 8,222.52

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Solution

The fourth proportional to 26,942.39, 40,413.59 and 8,222.52 is: 12,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,942.39 : 40,413.59 = 8,222.52 : x
  2. Step 2: Convert to fraction form
    26,942.39/40,413.59 = 8,222.52/x
  3. Step 3: Cross multiply
    26,942.39x = 40,413.59 × 8,222.52
  4. Step 4: Simplify right side
    26,942.39x = 332,301,510.93
  5. Step 5: Solve for x
    x = 332,301,510.93/26,942.39
  6. Step 6: Final answer
    x = 12,333.78

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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.