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Finding the Fourth Proportional to 20,954.97, 31,432.44 and 6,163.89

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Solution

The fourth proportional to 20,954.97, 31,432.44 and 6,163.89 is: 9,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.97 : 31,432.44 = 6,163.89 : x
  2. Step 2: Convert to fraction form
    20,954.97/31,432.44 = 6,163.89/x
  3. Step 3: Cross multiply
    20,954.97x = 31,432.44 × 6,163.89
  4. Step 4: Simplify right side
    20,954.97x = 193,745,914.61
  5. Step 5: Solve for x
    x = 193,745,914.61/20,954.97
  6. Step 6: Final answer
    x = 9,245.82

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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.