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Finding the Fourth Proportional to 17.23, 23.78 and 13.54

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Solution

The fourth proportional to 17.23, 23.78 and 13.54 is: 18.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.23 : 23.78 = 13.54 : x
  2. Step 2: Convert to fraction form
    17.23/23.78 = 13.54/x
  3. Step 3: Cross multiply
    17.23x = 23.78 × 13.54
  4. Step 4: Simplify right side
    17.23x = 321.98
  5. Step 5: Solve for x
    x = 321.98/17.23
  6. Step 6: Final answer
    x = 18.69

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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.