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Finding the Fourth Proportional to 17.94, 24.82 and 17.74

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Solution

The fourth proportional to 17.94, 24.82 and 17.74 is: 24.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.94 : 24.82 = 17.74 : x
  2. Step 2: Convert to fraction form
    17.94/24.82 = 17.74/x
  3. Step 3: Cross multiply
    17.94x = 24.82 × 17.74
  4. Step 4: Simplify right side
    17.94x = 440.29
  5. Step 5: Solve for x
    x = 440.29/17.94
  6. Step 6: Final answer
    x = 24.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.