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Finding the Fourth Proportional to 20,672.70, 30,974.85 and 11,892.30

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Solution

The fourth proportional to 20,672.70, 30,974.85 and 11,892.30 is: 17,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.70 : 30,974.85 = 11,892.30 : x
  2. Step 2: Convert to fraction form
    20,672.70/30,974.85 = 11,892.30/x
  3. Step 3: Cross multiply
    20,672.70x = 30,974.85 × 11,892.30
  4. Step 4: Simplify right side
    20,672.70x = 368,362,208.66
  5. Step 5: Solve for x
    x = 368,362,208.66/20,672.70
  6. Step 6: Final answer
    x = 17,818.78

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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.