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Finding the Fourth Proportional to 17,144.26, 25,724.04 and 10,902.60

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Solution

The fourth proportional to 17,144.26, 25,724.04 and 10,902.60 is: 16,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.26 : 25,724.04 = 10,902.60 : x
  2. Step 2: Convert to fraction form
    17,144.26/25,724.04 = 10,902.60/x
  3. Step 3: Cross multiply
    17,144.26x = 25,724.04 × 10,902.60
  4. Step 4: Simplify right side
    17,144.26x = 280,458,918.50
  5. Step 5: Solve for x
    x = 280,458,918.50/17,144.26
  6. Step 6: Final answer
    x = 16,358.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.