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Finding the Fourth Proportional to 13,584.38, 18,747.34 and 7,616.44

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Solution

The fourth proportional to 13,584.38, 18,747.34 and 7,616.44 is: 10,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.38 : 18,747.34 = 7,616.44 : x
  2. Step 2: Convert to fraction form
    13,584.38/18,747.34 = 7,616.44/x
  3. Step 3: Cross multiply
    13,584.38x = 18,747.34 × 7,616.44
  4. Step 4: Simplify right side
    13,584.38x = 142,787,990.27
  5. Step 5: Solve for x
    x = 142,787,990.27/13,584.38
  6. Step 6: Final answer
    x = 10,511.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.