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Finding the Fourth Proportional to 12,183.19, 16,809.87 and 8,405.14

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Solution

The fourth proportional to 12,183.19, 16,809.87 and 8,405.14 is: 11,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.19 : 16,809.87 = 8,405.14 : x
  2. Step 2: Convert to fraction form
    12,183.19/16,809.87 = 8,405.14/x
  3. Step 3: Cross multiply
    12,183.19x = 16,809.87 × 8,405.14
  4. Step 4: Simplify right side
    12,183.19x = 141,289,310.73
  5. Step 5: Solve for x
    x = 141,289,310.73/12,183.19
  6. Step 6: Final answer
    x = 11,597.07

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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.