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Finding the Fourth Proportional to 20,992.36, 31,487.46 and 7,843.70

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Solution

The fourth proportional to 20,992.36, 31,487.46 and 7,843.70 is: 11,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.36 : 31,487.46 = 7,843.70 : x
  2. Step 2: Convert to fraction form
    20,992.36/31,487.46 = 7,843.70/x
  3. Step 3: Cross multiply
    20,992.36x = 31,487.46 × 7,843.70
  4. Step 4: Simplify right side
    20,992.36x = 246,978,190.00
  5. Step 5: Solve for x
    x = 246,978,190.00/20,992.36
  6. Step 6: Final answer
    x = 11,765.15

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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.