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Finding the Fourth Proportional to 13,414.50, 20,137.14 and 7,871.85

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Solution

The fourth proportional to 13,414.50, 20,137.14 and 7,871.85 is: 11,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.50 : 20,137.14 = 7,871.85 : x
  2. Step 2: Convert to fraction form
    13,414.50/20,137.14 = 7,871.85/x
  3. Step 3: Cross multiply
    13,414.50x = 20,137.14 × 7,871.85
  4. Step 4: Simplify right side
    13,414.50x = 158,516,545.51
  5. Step 5: Solve for x
    x = 158,516,545.51/13,414.50
  6. Step 6: Final answer
    x = 11,816.81

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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.