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Finding the Fourth Proportional to 12,183.63, 16,813.42 and 6,732.71

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Solution

The fourth proportional to 12,183.63, 16,813.42 and 6,732.71 is: 9,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.63 : 16,813.42 = 6,732.71 : x
  2. Step 2: Convert to fraction form
    12,183.63/16,813.42 = 6,732.71/x
  3. Step 3: Cross multiply
    12,183.63x = 16,813.42 × 6,732.71
  4. Step 4: Simplify right side
    12,183.63x = 113,199,847.30
  5. Step 5: Solve for x
    x = 113,199,847.30/12,183.63
  6. Step 6: Final answer
    x = 9,291.14

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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.