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Finding the Fourth Proportional to 24.44, 36.67 and 9.23

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Solution

The fourth proportional to 24.44, 36.67 and 9.23 is: 13.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.44 : 36.67 = 9.23 : x
  2. Step 2: Convert to fraction form
    24.44/36.67 = 9.23/x
  3. Step 3: Cross multiply
    24.44x = 36.67 × 9.23
  4. Step 4: Simplify right side
    24.44x = 338.46
  5. Step 5: Solve for x
    x = 338.46/24.44
  6. Step 6: Final answer
    x = 13.85

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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.