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Finding the Fourth Proportional to 20,991.36, 31,488.48 and 7,843.44

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Solution

The fourth proportional to 20,991.36, 31,488.48 and 7,843.44 is: 11,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.36 : 31,488.48 = 7,843.44 : x
  2. Step 2: Convert to fraction form
    20,991.36/31,488.48 = 7,843.44/x
  3. Step 3: Cross multiply
    20,991.36x = 31,488.48 × 7,843.44
  4. Step 4: Simplify right side
    20,991.36x = 246,978,003.57
  5. Step 5: Solve for x
    x = 246,978,003.57/20,991.36
  6. Step 6: Final answer
    x = 11,765.70

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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.