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Finding the Fourth Proportional to 16,221.12, 24,324.12 and 8,427.84

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Solution

The fourth proportional to 16,221.12, 24,324.12 and 8,427.84 is: 12,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.12 : 24,324.12 = 8,427.84 : x
  2. Step 2: Convert to fraction form
    16,221.12/24,324.12 = 8,427.84/x
  3. Step 3: Cross multiply
    16,221.12x = 24,324.12 × 8,427.84
  4. Step 4: Simplify right side
    16,221.12x = 204,999,791.50
  5. Step 5: Solve for x
    x = 204,999,791.50/16,221.12
  6. Step 6: Final answer
    x = 12,637.83

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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.