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Finding the Fourth Proportional to 17.41, 23.82 and 17.41

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Solution

The fourth proportional to 17.41, 23.82 and 17.41 is: 23.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.41 : 23.82 = 17.41 : x
  2. Step 2: Convert to fraction form
    17.41/23.82 = 17.41/x
  3. Step 3: Cross multiply
    17.41x = 23.82 × 17.41
  4. Step 4: Simplify right side
    17.41x = 414.71
  5. Step 5: Solve for x
    x = 414.71/17.41
  6. Step 6: Final answer
    x = 23.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.