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Finding the Fourth Proportional to 18.64, 25.71 and 11.73

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Solution

The fourth proportional to 18.64, 25.71 and 11.73 is: 16.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.64 : 25.71 = 11.73 : x
  2. Step 2: Convert to fraction form
    18.64/25.71 = 11.73/x
  3. Step 3: Cross multiply
    18.64x = 25.71 × 11.73
  4. Step 4: Simplify right side
    18.64x = 301.69
  5. Step 5: Solve for x
    x = 301.69/18.64
  6. Step 6: Final answer
    x = 16.18

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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.