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Finding the Fourth Proportional to 29,719.38, 41,013.96 and 17,144.13

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Solution

The fourth proportional to 29,719.38, 41,013.96 and 17,144.13 is: 23,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,719.38 : 41,013.96 = 17,144.13 : x
  2. Step 2: Convert to fraction form
    29,719.38/41,013.96 = 17,144.13/x
  3. Step 3: Cross multiply
    29,719.38x = 41,013.96 × 17,144.13
  4. Step 4: Simplify right side
    29,719.38x = 703,148,662.05
  5. Step 5: Solve for x
    x = 703,148,662.05/29,719.38
  6. Step 6: Final answer
    x = 23,659.60

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Why These Related Problems?

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