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Finding the Fourth Proportional to 12,206.98, 18,311.82 and 3,884.08

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Solution

The fourth proportional to 12,206.98, 18,311.82 and 3,884.08 is: 5,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.98 : 18,311.82 = 3,884.08 : x
  2. Step 2: Convert to fraction form
    12,206.98/18,311.82 = 3,884.08/x
  3. Step 3: Cross multiply
    12,206.98x = 18,311.82 × 3,884.08
  4. Step 4: Simplify right side
    12,206.98x = 71,124,462.85
  5. Step 5: Solve for x
    x = 71,124,462.85/12,206.98
  6. Step 6: Final answer
    x = 5,826.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.