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Finding the Fourth Proportional to 16.21, 24.27 and 13.24

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Solution

The fourth proportional to 16.21, 24.27 and 13.24 is: 19.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.21 : 24.27 = 13.24 : x
  2. Step 2: Convert to fraction form
    16.21/24.27 = 13.24/x
  3. Step 3: Cross multiply
    16.21x = 24.27 × 13.24
  4. Step 4: Simplify right side
    16.21x = 321.33
  5. Step 5: Solve for x
    x = 321.33/16.21
  6. Step 6: Final answer
    x = 19.82

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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.