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Finding the Fourth Proportional to 17.84, 24.74 and 16.76

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Solution

The fourth proportional to 17.84, 24.74 and 16.76 is: 23.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.84 : 24.74 = 16.76 : x
  2. Step 2: Convert to fraction form
    17.84/24.74 = 16.76/x
  3. Step 3: Cross multiply
    17.84x = 24.74 × 16.76
  4. Step 4: Simplify right side
    17.84x = 414.64
  5. Step 5: Solve for x
    x = 414.64/17.84
  6. Step 6: Final answer
    x = 23.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.