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Finding the Fourth Proportional to 19.74, 27.23 and 12.84

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Solution

The fourth proportional to 19.74, 27.23 and 12.84 is: 17.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.74 : 27.23 = 12.84 : x
  2. Step 2: Convert to fraction form
    19.74/27.23 = 12.84/x
  3. Step 3: Cross multiply
    19.74x = 27.23 × 12.84
  4. Step 4: Simplify right side
    19.74x = 349.57
  5. Step 5: Solve for x
    x = 349.57/19.74
  6. Step 6: Final answer
    x = 17.71

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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.