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Finding the Fourth Proportional to 12,517.99, 18,777.05 and 4,198.65

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Solution

The fourth proportional to 12,517.99, 18,777.05 and 4,198.65 is: 6,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.99 : 18,777.05 = 4,198.65 : x
  2. Step 2: Convert to fraction form
    12,517.99/18,777.05 = 4,198.65/x
  3. Step 3: Cross multiply
    12,517.99x = 18,777.05 × 4,198.65
  4. Step 4: Simplify right side
    12,517.99x = 78,838,290.94
  5. Step 5: Solve for x
    x = 78,838,290.94/12,517.99
  6. Step 6: Final answer
    x = 6,298.00

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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.