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Finding the Fourth Proportional to 17.69, 24.41 and 12.83

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Solution

The fourth proportional to 17.69, 24.41 and 12.83 is: 17.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.69 : 24.41 = 12.83 : x
  2. Step 2: Convert to fraction form
    17.69/24.41 = 12.83/x
  3. Step 3: Cross multiply
    17.69x = 24.41 × 12.83
  4. Step 4: Simplify right side
    17.69x = 312.99
  5. Step 5: Solve for x
    x = 312.99/17.69
  6. Step 6: Final answer
    x = 17.70

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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.