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Finding the Fourth Proportional to 24.76, 34.15 and 17.49

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Solution

The fourth proportional to 24.76, 34.15 and 17.49 is: 24.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.76 : 34.15 = 17.49 : x
  2. Step 2: Convert to fraction form
    24.76/34.15 = 17.49/x
  3. Step 3: Cross multiply
    24.76x = 34.15 × 17.49
  4. Step 4: Simplify right side
    24.76x = 597.28
  5. Step 5: Solve for x
    x = 597.28/24.76
  6. Step 6: Final answer
    x = 24.12

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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.