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Finding the Fourth Proportional to 24.36, 36.49 and 12.32

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Solution

The fourth proportional to 24.36, 36.49 and 12.32 is: 18.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.36 : 36.49 = 12.32 : x
  2. Step 2: Convert to fraction form
    24.36/36.49 = 12.32/x
  3. Step 3: Cross multiply
    24.36x = 36.49 × 12.32
  4. Step 4: Simplify right side
    24.36x = 449.37
  5. Step 5: Solve for x
    x = 449.37/24.36
  6. Step 6: Final answer
    x = 18.45

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Why These Related Problems?

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