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Finding the Fourth Proportional to 12,205.99, 18,311.75 and 4,414.80

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Solution

The fourth proportional to 12,205.99, 18,311.75 and 4,414.80 is: 6,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.99 : 18,311.75 = 4,414.80 : x
  2. Step 2: Convert to fraction form
    12,205.99/18,311.75 = 4,414.80/x
  3. Step 3: Cross multiply
    12,205.99x = 18,311.75 × 4,414.80
  4. Step 4: Simplify right side
    12,205.99x = 80,842,691.83
  5. Step 5: Solve for x
    x = 80,842,691.83/12,205.99
  6. Step 6: Final answer
    x = 6,623.20

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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.