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Finding the Fourth Proportional to 13,706.44, 18,912.83 and 8,039.05

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Solution

The fourth proportional to 13,706.44, 18,912.83 and 8,039.05 is: 11,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.44 : 18,912.83 = 8,039.05 : x
  2. Step 2: Convert to fraction form
    13,706.44/18,912.83 = 8,039.05/x
  3. Step 3: Cross multiply
    13,706.44x = 18,912.83 × 8,039.05
  4. Step 4: Simplify right side
    13,706.44x = 152,041,091.45
  5. Step 5: Solve for x
    x = 152,041,091.45/13,706.44
  6. Step 6: Final answer
    x = 11,092.68

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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.