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Finding the Fourth Proportional to 24.84, 34.13 and 23.71

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Solution

The fourth proportional to 24.84, 34.13 and 23.71 is: 32.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.84 : 34.13 = 23.71 : x
  2. Step 2: Convert to fraction form
    24.84/34.13 = 23.71/x
  3. Step 3: Cross multiply
    24.84x = 34.13 × 23.71
  4. Step 4: Simplify right side
    24.84x = 809.22
  5. Step 5: Solve for x
    x = 809.22/24.84
  6. Step 6: Final answer
    x = 32.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.