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Finding the Fourth Proportional to 13,694.19, 18,893.57 and 10,813.78

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Solution

The fourth proportional to 13,694.19, 18,893.57 and 10,813.78 is: 14,919.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.19 : 18,893.57 = 10,813.78 : x
  2. Step 2: Convert to fraction form
    13,694.19/18,893.57 = 10,813.78/x
  3. Step 3: Cross multiply
    13,694.19x = 18,893.57 × 10,813.78
  4. Step 4: Simplify right side
    13,694.19x = 204,310,808.09
  5. Step 5: Solve for x
    x = 204,310,808.09/13,694.19
  6. Step 6: Final answer
    x = 14,919.52

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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.