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Finding the Fourth Proportional to 20,994.54, 31,481.94 and 7,843.38

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Solution

The fourth proportional to 20,994.54, 31,481.94 and 7,843.38 is: 11,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.54 : 31,481.94 = 7,843.38 : x
  2. Step 2: Convert to fraction form
    20,994.54/31,481.94 = 7,843.38/x
  3. Step 3: Cross multiply
    20,994.54x = 31,481.94 × 7,843.38
  4. Step 4: Simplify right side
    20,994.54x = 246,924,818.56
  5. Step 5: Solve for x
    x = 246,924,818.56/20,994.54
  6. Step 6: Final answer
    x = 11,761.38

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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.