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Finding the Fourth Proportional to 16.27, 24.34 and 12

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Solution

The fourth proportional to 16.27, 24.34 and 12 is: 17.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.27 : 24.34 = 12 : x
  2. Step 2: Convert to fraction form
    16.27/24.34 = 12/x
  3. Step 3: Cross multiply
    16.27x = 24.34 × 12
  4. Step 4: Simplify right side
    16.27x = 292.08
  5. Step 5: Solve for x
    x = 292.08/16.27
  6. Step 6: Final answer
    x = 17.95

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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.