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Finding the Fourth Proportional to 17.98, 24.82 and 10.71

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Solution

The fourth proportional to 17.98, 24.82 and 10.71 is: 14.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.98 : 24.82 = 10.71 : x
  2. Step 2: Convert to fraction form
    17.98/24.82 = 10.71/x
  3. Step 3: Cross multiply
    17.98x = 24.82 × 10.71
  4. Step 4: Simplify right side
    17.98x = 265.77
  5. Step 5: Solve for x
    x = 265.77/17.98
  6. Step 6: Final answer
    x = 14.78

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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.