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Finding the Fourth Proportional to 23.82, 32.87 and 14.12

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Solution

The fourth proportional to 23.82, 32.87 and 14.12 is: 19.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.82 : 32.87 = 14.12 : x
  2. Step 2: Convert to fraction form
    23.82/32.87 = 14.12/x
  3. Step 3: Cross multiply
    23.82x = 32.87 × 14.12
  4. Step 4: Simplify right side
    23.82x = 463.89
  5. Step 5: Solve for x
    x = 463.89/23.82
  6. Step 6: Final answer
    x = 19.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.