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Finding the Fourth Proportional to 24.56, 33.86 and 17.66

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Solution

The fourth proportional to 24.56, 33.86 and 17.66 is: 24.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.56 : 33.86 = 17.66 : x
  2. Step 2: Convert to fraction form
    24.56/33.86 = 17.66/x
  3. Step 3: Cross multiply
    24.56x = 33.86 × 17.66
  4. Step 4: Simplify right side
    24.56x = 597.71
  5. Step 5: Solve for x
    x = 597.71/24.56
  6. Step 6: Final answer
    x = 24.34

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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.