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Finding the Fourth Proportional to 24.50, 36.78 and 13.84

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Solution

The fourth proportional to 24.50, 36.78 and 13.84 is: 20.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.50 : 36.78 = 13.84 : x
  2. Step 2: Convert to fraction form
    24.50/36.78 = 13.84/x
  3. Step 3: Cross multiply
    24.50x = 36.78 × 13.84
  4. Step 4: Simplify right side
    24.50x = 509.04
  5. Step 5: Solve for x
    x = 509.04/24.50
  6. Step 6: Final answer
    x = 20.78

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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.