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Finding the Fourth Proportional to 23.47, 35.12 and 13.84

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Solution

The fourth proportional to 23.47, 35.12 and 13.84 is: 20.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.47 : 35.12 = 13.84 : x
  2. Step 2: Convert to fraction form
    23.47/35.12 = 13.84/x
  3. Step 3: Cross multiply
    23.47x = 35.12 × 13.84
  4. Step 4: Simplify right side
    23.47x = 486.09
  5. Step 5: Solve for x
    x = 486.09/23.47
  6. Step 6: Final answer
    x = 20.71

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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.