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Finding the Fourth Proportional to 24.32, 36.47 and 12.29

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Solution

The fourth proportional to 24.32, 36.47 and 12.29 is: 18.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.32 : 36.47 = 12.29 : x
  2. Step 2: Convert to fraction form
    24.32/36.47 = 12.29/x
  3. Step 3: Cross multiply
    24.32x = 36.47 × 12.29
  4. Step 4: Simplify right side
    24.32x = 447.97
  5. Step 5: Solve for x
    x = 447.97/24.32
  6. Step 6: Final answer
    x = 18.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.