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Finding the Fourth Proportional to 20,952.88, 31,431.22 and 6,912.95

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Solution

The fourth proportional to 20,952.88, 31,431.22 and 6,912.95 is: 10,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.88 : 31,431.22 = 6,912.95 : x
  2. Step 2: Convert to fraction form
    20,952.88/31,431.22 = 6,912.95/x
  3. Step 3: Cross multiply
    20,952.88x = 31,431.22 × 6,912.95
  4. Step 4: Simplify right side
    20,952.88x = 217,282,385.70
  5. Step 5: Solve for x
    x = 217,282,385.70/20,952.88
  6. Step 6: Final answer
    x = 10,370.05

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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.