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Finding the Fourth Proportional to 17.92, 24.74 and 12.47

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Solution

The fourth proportional to 17.92, 24.74 and 12.47 is: 17.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.92 : 24.74 = 12.47 : x
  2. Step 2: Convert to fraction form
    17.92/24.74 = 12.47/x
  3. Step 3: Cross multiply
    17.92x = 24.74 × 12.47
  4. Step 4: Simplify right side
    17.92x = 308.51
  5. Step 5: Solve for x
    x = 308.51/17.92
  6. Step 6: Final answer
    x = 17.22

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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.