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Finding the Fourth Proportional to 13,694.44, 18,893.91 and 10,814.03

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Solution

The fourth proportional to 13,694.44, 18,893.91 and 10,814.03 is: 14,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.44 : 18,893.91 = 10,814.03 : x
  2. Step 2: Convert to fraction form
    13,694.44/18,893.91 = 10,814.03/x
  3. Step 3: Cross multiply
    13,694.44x = 18,893.91 × 10,814.03
  4. Step 4: Simplify right side
    13,694.44x = 204,319,309.56
  5. Step 5: Solve for x
    x = 204,319,309.56/13,694.44
  6. Step 6: Final answer
    x = 14,919.87

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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.