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Finding the Fourth Proportional to 11,996.70, 17,993.61 and 3,682.46

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Solution

The fourth proportional to 11,996.70, 17,993.61 and 3,682.46 is: 5,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.70 : 17,993.61 = 3,682.46 : x
  2. Step 2: Convert to fraction form
    11,996.70/17,993.61 = 3,682.46/x
  3. Step 3: Cross multiply
    11,996.70x = 17,993.61 × 3,682.46
  4. Step 4: Simplify right side
    11,996.70x = 66,260,659.11
  5. Step 5: Solve for x
    x = 66,260,659.11/11,996.70
  6. Step 6: Final answer
    x = 5,523.24

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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.