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Finding the Fourth Proportional to 17.64, 24.28 and 16.28

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Solution

The fourth proportional to 17.64, 24.28 and 16.28 is: 22.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.64 : 24.28 = 16.28 : x
  2. Step 2: Convert to fraction form
    17.64/24.28 = 16.28/x
  3. Step 3: Cross multiply
    17.64x = 24.28 × 16.28
  4. Step 4: Simplify right side
    17.64x = 395.28
  5. Step 5: Solve for x
    x = 395.28/17.64
  6. Step 6: Final answer
    x = 22.41

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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.