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Finding the Fourth Proportional to 24.78, 34.17 and 17.01

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Solution

The fourth proportional to 24.78, 34.17 and 17.01 is: 23.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 34.17 = 17.01 : x
  2. Step 2: Convert to fraction form
    24.78/34.17 = 17.01/x
  3. Step 3: Cross multiply
    24.78x = 34.17 × 17.01
  4. Step 4: Simplify right side
    24.78x = 581.23
  5. Step 5: Solve for x
    x = 581.23/24.78
  6. Step 6: Final answer
    x = 23.46

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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.