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Finding the Fourth Proportional to 13,222.83, 18,240.14 and 8,183.85

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Solution

The fourth proportional to 13,222.83, 18,240.14 and 8,183.85 is: 11,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.83 : 18,240.14 = 8,183.85 : x
  2. Step 2: Convert to fraction form
    13,222.83/18,240.14 = 8,183.85/x
  3. Step 3: Cross multiply
    13,222.83x = 18,240.14 × 8,183.85
  4. Step 4: Simplify right side
    13,222.83x = 149,274,528.82
  5. Step 5: Solve for x
    x = 149,274,528.82/13,222.83
  6. Step 6: Final answer
    x = 11,289.15

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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.