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Finding the Fourth Proportional to 17.22, 23.72 and 12.83

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Solution

The fourth proportional to 17.22, 23.72 and 12.83 is: 17.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.22 : 23.72 = 12.83 : x
  2. Step 2: Convert to fraction form
    17.22/23.72 = 12.83/x
  3. Step 3: Cross multiply
    17.22x = 23.72 × 12.83
  4. Step 4: Simplify right side
    17.22x = 304.35
  5. Step 5: Solve for x
    x = 304.35/17.22
  6. Step 6: Final answer
    x = 17.68

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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.