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Finding the Fourth Proportional to 12,234.20, 16,873.80 and 8,249

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Solution

The fourth proportional to 12,234.20, 16,873.80 and 8,249 is: 11,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.20 : 16,873.80 = 8,249 : x
  2. Step 2: Convert to fraction form
    12,234.20/16,873.80 = 8,249/x
  3. Step 3: Cross multiply
    12,234.20x = 16,873.80 × 8,249
  4. Step 4: Simplify right side
    12,234.20x = 139,191,976.20
  5. Step 5: Solve for x
    x = 139,191,976.20/12,234.20
  6. Step 6: Final answer
    x = 11,377.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.