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Finding the Fourth Proportional to 17.62, 24.32 and 13.25

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Solution

The fourth proportional to 17.62, 24.32 and 13.25 is: 18.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.62 : 24.32 = 13.25 : x
  2. Step 2: Convert to fraction form
    17.62/24.32 = 13.25/x
  3. Step 3: Cross multiply
    17.62x = 24.32 × 13.25
  4. Step 4: Simplify right side
    17.62x = 322.24
  5. Step 5: Solve for x
    x = 322.24/17.62
  6. Step 6: Final answer
    x = 18.29

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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.