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Finding the Fourth Proportional to 24, 36.22 and 23.86

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Solution

The fourth proportional to 24, 36.22 and 23.86 is: 36.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24 : 36.22 = 23.86 : x
  2. Step 2: Convert to fraction form
    24/36.22 = 23.86/x
  3. Step 3: Cross multiply
    24x = 36.22 × 23.86
  4. Step 4: Simplify right side
    24x = 864.21
  5. Step 5: Solve for x
    x = 864.21/24
  6. Step 6: Final answer
    x = 36.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.