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Finding the Fourth Proportional to 24.67, 36.97 and 18.96

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Solution

The fourth proportional to 24.67, 36.97 and 18.96 is: 28.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.67 : 36.97 = 18.96 : x
  2. Step 2: Convert to fraction form
    24.67/36.97 = 18.96/x
  3. Step 3: Cross multiply
    24.67x = 36.97 × 18.96
  4. Step 4: Simplify right side
    24.67x = 700.95
  5. Step 5: Solve for x
    x = 700.95/24.67
  6. Step 6: Final answer
    x = 28.41

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