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Finding the Fourth Proportional to 17.76, 24.24 and 17.16

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Solution

The fourth proportional to 17.76, 24.24 and 17.16 is: 23.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.76 : 24.24 = 17.16 : x
  2. Step 2: Convert to fraction form
    17.76/24.24 = 17.16/x
  3. Step 3: Cross multiply
    17.76x = 24.24 × 17.16
  4. Step 4: Simplify right side
    17.76x = 415.96
  5. Step 5: Solve for x
    x = 415.96/17.76
  6. Step 6: Final answer
    x = 23.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.