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Finding the Fourth Proportional to 20,995.79, 31,494.28 and 5,413.41

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Solution

The fourth proportional to 20,995.79, 31,494.28 and 5,413.41 is: 8,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,995.79 : 31,494.28 = 5,413.41 : x
  2. Step 2: Convert to fraction form
    20,995.79/31,494.28 = 5,413.41/x
  3. Step 3: Cross multiply
    20,995.79x = 31,494.28 × 5,413.41
  4. Step 4: Simplify right side
    20,995.79x = 170,491,436.76
  5. Step 5: Solve for x
    x = 170,491,436.76/20,995.79
  6. Step 6: Final answer
    x = 8,120.27

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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.