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Finding the Fourth Proportional to 11,996.36, 17,994.46 and 9,227.96

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Solution

The fourth proportional to 11,996.36, 17,994.46 and 9,227.96 is: 13,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.36 : 17,994.46 = 9,227.96 : x
  2. Step 2: Convert to fraction form
    11,996.36/17,994.46 = 9,227.96/x
  3. Step 3: Cross multiply
    11,996.36x = 17,994.46 × 9,227.96
  4. Step 4: Simplify right side
    11,996.36x = 166,052,157.10
  5. Step 5: Solve for x
    x = 166,052,157.10/11,996.36
  6. Step 6: Final answer
    x = 13,841.88

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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.