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Finding the Fourth Proportional to 20,760.34, 31,121.34 and 8,277.34

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Solution

The fourth proportional to 20,760.34, 31,121.34 and 8,277.34 is: 12,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760.34 : 31,121.34 = 8,277.34 : x
  2. Step 2: Convert to fraction form
    20,760.34/31,121.34 = 8,277.34/x
  3. Step 3: Cross multiply
    20,760.34x = 31,121.34 × 8,277.34
  4. Step 4: Simplify right side
    20,760.34x = 257,601,912.44
  5. Step 5: Solve for x
    x = 257,601,912.44/20,760.34
  6. Step 6: Final answer
    x = 12,408.37

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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.