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Finding the Fourth Proportional to 20,912.94, 31,372.56 and 6,120

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Solution

The fourth proportional to 20,912.94, 31,372.56 and 6,120 is: 9,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912.94 : 31,372.56 = 6,120 : x
  2. Step 2: Convert to fraction form
    20,912.94/31,372.56 = 6,120/x
  3. Step 3: Cross multiply
    20,912.94x = 31,372.56 × 6,120
  4. Step 4: Simplify right side
    20,912.94x = 192,000,067.20
  5. Step 5: Solve for x
    x = 192,000,067.20/20,912.94
  6. Step 6: Final answer
    x = 9,180.92

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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.