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Finding the Fourth Proportional to 13,759.57, 20,634.11 and 5,857.09

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Solution

The fourth proportional to 13,759.57, 20,634.11 and 5,857.09 is: 8,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.57 : 20,634.11 = 5,857.09 : x
  2. Step 2: Convert to fraction form
    13,759.57/20,634.11 = 5,857.09/x
  3. Step 3: Cross multiply
    13,759.57x = 20,634.11 × 5,857.09
  4. Step 4: Simplify right side
    13,759.57x = 120,855,896.50
  5. Step 5: Solve for x
    x = 120,855,896.50/13,759.57
  6. Step 6: Final answer
    x = 8,783.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.