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Finding the Fourth Proportional to 11,796.56, 17,694.97 and 3,031.23

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Solution

The fourth proportional to 11,796.56, 17,694.97 and 3,031.23 is: 4,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.56 : 17,694.97 = 3,031.23 : x
  2. Step 2: Convert to fraction form
    11,796.56/17,694.97 = 3,031.23/x
  3. Step 3: Cross multiply
    11,796.56x = 17,694.97 × 3,031.23
  4. Step 4: Simplify right side
    11,796.56x = 53,637,516.34
  5. Step 5: Solve for x
    x = 53,637,516.34/11,796.56
  6. Step 6: Final answer
    x = 4,546.88

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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.