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Finding the Fourth Proportional to 17,072, 25,608.96 and 4,760.96

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Solution

The fourth proportional to 17,072, 25,608.96 and 4,760.96 is: 7,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,072 : 25,608.96 = 4,760.96 : x
  2. Step 2: Convert to fraction form
    17,072/25,608.96 = 4,760.96/x
  3. Step 3: Cross multiply
    17,072x = 25,608.96 × 4,760.96
  4. Step 4: Simplify right side
    17,072x = 121,923,234.20
  5. Step 5: Solve for x
    x = 121,923,234.20/17,072
  6. Step 6: Final answer
    x = 7,141.71

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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.