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Finding the Fourth Proportional to 13,838.75, 20,757.93 and 6,439.07

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Solution

The fourth proportional to 13,838.75, 20,757.93 and 6,439.07 is: 9,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.75 : 20,757.93 = 6,439.07 : x
  2. Step 2: Convert to fraction form
    13,838.75/20,757.93 = 6,439.07/x
  3. Step 3: Cross multiply
    13,838.75x = 20,757.93 × 6,439.07
  4. Step 4: Simplify right side
    13,838.75x = 133,661,764.33
  5. Step 5: Solve for x
    x = 133,661,764.33/13,838.75
  6. Step 6: Final answer
    x = 9,658.51

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