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Finding the Fourth Proportional to 18,631.53, 27,947.76 and 6,942.42

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Solution

The fourth proportional to 18,631.53, 27,947.76 and 6,942.42 is: 10,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,631.53 : 27,947.76 = 6,942.42 : x
  2. Step 2: Convert to fraction form
    18,631.53/27,947.76 = 6,942.42/x
  3. Step 3: Cross multiply
    18,631.53x = 27,947.76 × 6,942.42
  4. Step 4: Simplify right side
    18,631.53x = 194,025,087.98
  5. Step 5: Solve for x
    x = 194,025,087.98/18,631.53
  6. Step 6: Final answer
    x = 10,413.80

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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.