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Finding the Fourth Proportional to 24.86, 37.29 and 6.82

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Solution

The fourth proportional to 24.86, 37.29 and 6.82 is: 10.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.86 : 37.29 = 6.82 : x
  2. Step 2: Convert to fraction form
    24.86/37.29 = 6.82/x
  3. Step 3: Cross multiply
    24.86x = 37.29 × 6.82
  4. Step 4: Simplify right side
    24.86x = 254.30
  5. Step 5: Solve for x
    x = 254.30/24.86
  6. Step 6: Final answer
    x = 10.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.