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Finding the Fourth Proportional to 24.77, 34.18 and 13.85

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Solution

The fourth proportional to 24.77, 34.18 and 13.85 is: 19.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.77 : 34.18 = 13.85 : x
  2. Step 2: Convert to fraction form
    24.77/34.18 = 13.85/x
  3. Step 3: Cross multiply
    24.77x = 34.18 × 13.85
  4. Step 4: Simplify right side
    24.77x = 473.44
  5. Step 5: Solve for x
    x = 473.44/24.77
  6. Step 6: Final answer
    x = 19.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.