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Finding the Fourth Proportional to 16,010.82, 24,016.23 and 8,214.66

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Solution

The fourth proportional to 16,010.82, 24,016.23 and 8,214.66 is: 12,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010.82 : 24,016.23 = 8,214.66 : x
  2. Step 2: Convert to fraction form
    16,010.82/24,016.23 = 8,214.66/x
  3. Step 3: Cross multiply
    16,010.82x = 24,016.23 × 8,214.66
  4. Step 4: Simplify right side
    16,010.82x = 197,285,163.93
  5. Step 5: Solve for x
    x = 197,285,163.93/16,010.82
  6. Step 6: Final answer
    x = 12,321.99

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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.