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Finding the Fourth Proportional to 24.52, 36.78 and 8.49

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Solution

The fourth proportional to 24.52, 36.78 and 8.49 is: 12.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.52 : 36.78 = 8.49 : x
  2. Step 2: Convert to fraction form
    24.52/36.78 = 8.49/x
  3. Step 3: Cross multiply
    24.52x = 36.78 × 8.49
  4. Step 4: Simplify right side
    24.52x = 312.09
  5. Step 5: Solve for x
    x = 312.09/24.52
  6. Step 6: Final answer
    x = 12.73

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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.