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Finding the Fourth Proportional to 20,939.57, 31,413.20 and 6,900.42

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Solution

The fourth proportional to 20,939.57, 31,413.20 and 6,900.42 is: 10,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,939.57 : 31,413.20 = 6,900.42 : x
  2. Step 2: Convert to fraction form
    20,939.57/31,413.20 = 6,900.42/x
  3. Step 3: Cross multiply
    20,939.57x = 31,413.20 × 6,900.42
  4. Step 4: Simplify right side
    20,939.57x = 216,764,239.04
  5. Step 5: Solve for x
    x = 216,764,239.04/20,939.57
  6. Step 6: Final answer
    x = 10,351.90

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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.