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Finding the Fourth Proportional to 20,984.67, 31,474.58 and 8,510.27

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Solution

The fourth proportional to 20,984.67, 31,474.58 and 8,510.27 is: 12,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.67 : 31,474.58 = 8,510.27 : x
  2. Step 2: Convert to fraction form
    20,984.67/31,474.58 = 8,510.27/x
  3. Step 3: Cross multiply
    20,984.67x = 31,474.58 × 8,510.27
  4. Step 4: Simplify right side
    20,984.67x = 267,856,974.01
  5. Step 5: Solve for x
    x = 267,856,974.01/20,984.67
  6. Step 6: Final answer
    x = 12,764.41

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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.