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Finding the Fourth Proportional to 22,524.56, 33,786.85 and 6,942.19

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Solution

The fourth proportional to 22,524.56, 33,786.85 and 6,942.19 is: 10,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.56 : 33,786.85 = 6,942.19 : x
  2. Step 2: Convert to fraction form
    22,524.56/33,786.85 = 6,942.19/x
  3. Step 3: Cross multiply
    22,524.56x = 33,786.85 × 6,942.19
  4. Step 4: Simplify right side
    22,524.56x = 234,554,630.38
  5. Step 5: Solve for x
    x = 234,554,630.38/22,524.56
  6. Step 6: Final answer
    x = 10,413.28

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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.