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Finding the Fourth Proportional to 19.26, 28.78 and 17.42

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Solution

The fourth proportional to 19.26, 28.78 and 17.42 is: 26.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.26 : 28.78 = 17.42 : x
  2. Step 2: Convert to fraction form
    19.26/28.78 = 17.42/x
  3. Step 3: Cross multiply
    19.26x = 28.78 × 17.42
  4. Step 4: Simplify right side
    19.26x = 501.16
  5. Step 5: Solve for x
    x = 501.16/19.26
  6. Step 6: Final answer
    x = 26.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.