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Finding the Fourth Proportional to 13,900.50, 19,182.83 and 8,311.50

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Solution

The fourth proportional to 13,900.50, 19,182.83 and 8,311.50 is: 11,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.50 : 19,182.83 = 8,311.50 : x
  2. Step 2: Convert to fraction form
    13,900.50/19,182.83 = 8,311.50/x
  3. Step 3: Cross multiply
    13,900.50x = 19,182.83 × 8,311.50
  4. Step 4: Simplify right side
    13,900.50x = 159,438,049.99
  5. Step 5: Solve for x
    x = 159,438,049.99/13,900.50
  6. Step 6: Final answer
    x = 11,469.95

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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.