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Finding the Fourth Proportional to 24.09, 33.20 and 17.17

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Solution

The fourth proportional to 24.09, 33.20 and 17.17 is: 23.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.09 : 33.20 = 17.17 : x
  2. Step 2: Convert to fraction form
    24.09/33.20 = 17.17/x
  3. Step 3: Cross multiply
    24.09x = 33.20 × 17.17
  4. Step 4: Simplify right side
    24.09x = 569.88
  5. Step 5: Solve for x
    x = 569.88/24.09
  6. Step 6: Final answer
    x = 23.66

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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.