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Finding the Fourth Proportional to 11,996.72, 17,994.42 and 3,676.76

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Solution

The fourth proportional to 11,996.72, 17,994.42 and 3,676.76 is: 5,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.72 : 17,994.42 = 3,676.76 : x
  2. Step 2: Convert to fraction form
    11,996.72/17,994.42 = 3,676.76/x
  3. Step 3: Cross multiply
    11,996.72x = 17,994.42 × 3,676.76
  4. Step 4: Simplify right side
    11,996.72x = 66,161,163.68
  5. Step 5: Solve for x
    x = 66,161,163.68/11,996.72
  6. Step 6: Final answer
    x = 5,514.94

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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.