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Finding the Fourth Proportional to 12,218.00, 16,874.65 and 8,232.19

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Solution

The fourth proportional to 12,218.00, 16,874.65 and 8,232.19 is: 11,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.00 : 16,874.65 = 8,232.19 : x
  2. Step 2: Convert to fraction form
    12,218.00/16,874.65 = 8,232.19/x
  3. Step 3: Cross multiply
    12,218.00x = 16,874.65 × 8,232.19
  4. Step 4: Simplify right side
    12,218.00x = 138,915,246.78
  5. Step 5: Solve for x
    x = 138,915,246.78/12,218.00
  6. Step 6: Final answer
    x = 11,369.73

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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.