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Finding the Fourth Proportional to 17.96, 24.74 and 14.32

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Solution

The fourth proportional to 17.96, 24.74 and 14.32 is: 19.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.96 : 24.74 = 14.32 : x
  2. Step 2: Convert to fraction form
    17.96/24.74 = 14.32/x
  3. Step 3: Cross multiply
    17.96x = 24.74 × 14.32
  4. Step 4: Simplify right side
    17.96x = 354.14
  5. Step 5: Solve for x
    x = 354.14/17.96
  6. Step 6: Final answer
    x = 19.72

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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.