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Finding the Fourth Proportional to 17.44, 24.09 and 12.28

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Solution

The fourth proportional to 17.44, 24.09 and 12.28 is: 16.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.44 : 24.09 = 12.28 : x
  2. Step 2: Convert to fraction form
    17.44/24.09 = 12.28/x
  3. Step 3: Cross multiply
    17.44x = 24.09 × 12.28
  4. Step 4: Simplify right side
    17.44x = 295.64
  5. Step 5: Solve for x
    x = 295.64/17.44
  6. Step 6: Final answer
    x = 16.96

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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.