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Finding the Fourth Proportional to 17,245.44, 25,872 and 9,450.24

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Solution

The fourth proportional to 17,245.44, 25,872 and 9,450.24 is: 14,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,245.44 : 25,872 = 9,450.24 : x
  2. Step 2: Convert to fraction form
    17,245.44/25,872 = 9,450.24/x
  3. Step 3: Cross multiply
    17,245.44x = 25,872 × 9,450.24
  4. Step 4: Simplify right side
    17,245.44x = 244,496,609.28
  5. Step 5: Solve for x
    x = 244,496,609.28/17,245.44
  6. Step 6: Final answer
    x = 14,177.46

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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.