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Finding the Fourth Proportional to 16,013.82, 24,020.73 and 8,217.66

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Solution

The fourth proportional to 16,013.82, 24,020.73 and 8,217.66 is: 12,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.82 : 24,020.73 = 8,217.66 : x
  2. Step 2: Convert to fraction form
    16,013.82/24,020.73 = 8,217.66/x
  3. Step 3: Cross multiply
    16,013.82x = 24,020.73 × 8,217.66
  4. Step 4: Simplify right side
    16,013.82x = 197,394,192.09
  5. Step 5: Solve for x
    x = 197,394,192.09/16,013.82
  6. Step 6: Final answer
    x = 12,326.49

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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.