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Finding the Fourth Proportional to 24.78, 34.19 and 13.86

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Solution

The fourth proportional to 24.78, 34.19 and 13.86 is: 19.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 34.19 = 13.86 : x
  2. Step 2: Convert to fraction form
    24.78/34.19 = 13.86/x
  3. Step 3: Cross multiply
    24.78x = 34.19 × 13.86
  4. Step 4: Simplify right side
    24.78x = 474.03
  5. Step 5: Solve for x
    x = 474.03/24.78
  6. Step 6: Final answer
    x = 19.13

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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.