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Finding the Fourth Proportional to 13,778.50, 20,667.04 and 3,916.48

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Solution

The fourth proportional to 13,778.50, 20,667.04 and 3,916.48 is: 5,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.50 : 20,667.04 = 3,916.48 : x
  2. Step 2: Convert to fraction form
    13,778.50/20,667.04 = 3,916.48/x
  3. Step 3: Cross multiply
    13,778.50x = 20,667.04 × 3,916.48
  4. Step 4: Simplify right side
    13,778.50x = 80,942,048.82
  5. Step 5: Solve for x
    x = 80,942,048.82/13,778.50
  6. Step 6: Final answer
    x = 5,874.52

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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.