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Finding the Fourth Proportional to 21.86, 32.81 and 12.86

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Solution

The fourth proportional to 21.86, 32.81 and 12.86 is: 19.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.86 : 32.81 = 12.86 : x
  2. Step 2: Convert to fraction form
    21.86/32.81 = 12.86/x
  3. Step 3: Cross multiply
    21.86x = 32.81 × 12.86
  4. Step 4: Simplify right side
    21.86x = 421.71
  5. Step 5: Solve for x
    x = 421.71/21.86
  6. Step 6: Final answer
    x = 19.30

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