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Finding the Fourth Proportional to 16.87, 23.28 and 9.96

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Solution

The fourth proportional to 16.87, 23.28 and 9.96 is: 13.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.87 : 23.28 = 9.96 : x
  2. Step 2: Convert to fraction form
    16.87/23.28 = 9.96/x
  3. Step 3: Cross multiply
    16.87x = 23.28 × 9.96
  4. Step 4: Simplify right side
    16.87x = 231.87
  5. Step 5: Solve for x
    x = 231.87/16.87
  6. Step 6: Final answer
    x = 13.74

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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.