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Finding the Fourth Proportional to 17.76, 24.49 and 12.30

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Solution

The fourth proportional to 17.76, 24.49 and 12.30 is: 16.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.76 : 24.49 = 12.30 : x
  2. Step 2: Convert to fraction form
    17.76/24.49 = 12.30/x
  3. Step 3: Cross multiply
    17.76x = 24.49 × 12.30
  4. Step 4: Simplify right side
    17.76x = 301.23
  5. Step 5: Solve for x
    x = 301.23/17.76
  6. Step 6: Final answer
    x = 16.96

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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.