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Finding the Fourth Proportional to 29,722.68, 41,016.96 and 17,147.16

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Solution

The fourth proportional to 29,722.68, 41,016.96 and 17,147.16 is: 23,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,722.68 : 41,016.96 = 17,147.16 : x
  2. Step 2: Convert to fraction form
    29,722.68/41,016.96 = 17,147.16/x
  3. Step 3: Cross multiply
    29,722.68x = 41,016.96 × 17,147.16
  4. Step 4: Simplify right side
    29,722.68x = 703,324,375.83
  5. Step 5: Solve for x
    x = 703,324,375.83/29,722.68
  6. Step 6: Final answer
    x = 23,662.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.