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Finding the Fourth Proportional to 17.96, 24.81 and 14.09

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Solution

The fourth proportional to 17.96, 24.81 and 14.09 is: 19.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.96 : 24.81 = 14.09 : x
  2. Step 2: Convert to fraction form
    17.96/24.81 = 14.09/x
  3. Step 3: Cross multiply
    17.96x = 24.81 × 14.09
  4. Step 4: Simplify right side
    17.96x = 349.54
  5. Step 5: Solve for x
    x = 349.54/17.96
  6. Step 6: Final answer
    x = 19.47

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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.