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Finding the Fourth Proportional to 21.86, 32.82 and 12.74

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Solution

The fourth proportional to 21.86, 32.82 and 12.74 is: 19.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.86 : 32.82 = 12.74 : x
  2. Step 2: Convert to fraction form
    21.86/32.82 = 12.74/x
  3. Step 3: Cross multiply
    21.86x = 32.82 × 12.74
  4. Step 4: Simplify right side
    21.86x = 418.18
  5. Step 5: Solve for x
    x = 418.18/21.86
  6. Step 6: Final answer
    x = 19.13

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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.