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Finding the Fourth Proportional to 21.84, 32.67 and 13.83

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Solution

The fourth proportional to 21.84, 32.67 and 13.83 is: 20.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 32.67 = 13.83 : x
  2. Step 2: Convert to fraction form
    21.84/32.67 = 13.83/x
  3. Step 3: Cross multiply
    21.84x = 32.67 × 13.83
  4. Step 4: Simplify right side
    21.84x = 451.83
  5. Step 5: Solve for x
    x = 451.83/21.84
  6. Step 6: Final answer
    x = 20.69

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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.