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Finding the Fourth Proportional to 20,131.70, 30,166.76 and 8,438.54

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Solution

The fourth proportional to 20,131.70, 30,166.76 and 8,438.54 is: 12,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.70 : 30,166.76 = 8,438.54 : x
  2. Step 2: Convert to fraction form
    20,131.70/30,166.76 = 8,438.54/x
  3. Step 3: Cross multiply
    20,131.70x = 30,166.76 × 8,438.54
  4. Step 4: Simplify right side
    20,131.70x = 254,563,410.93
  5. Step 5: Solve for x
    x = 254,563,410.93/20,131.70
  6. Step 6: Final answer
    x = 12,644.90

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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.