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Finding the Fourth Proportional to 17,144.80, 23,662.56 and 10,072.96

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Solution

The fourth proportional to 17,144.80, 23,662.56 and 10,072.96 is: 13,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.80 : 23,662.56 = 10,072.96 : x
  2. Step 2: Convert to fraction form
    17,144.80/23,662.56 = 10,072.96/x
  3. Step 3: Cross multiply
    17,144.80x = 23,662.56 × 10,072.96
  4. Step 4: Simplify right side
    17,144.80x = 238,352,020.38
  5. Step 5: Solve for x
    x = 238,352,020.38/17,144.80
  6. Step 6: Final answer
    x = 13,902.29

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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.