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Finding the Fourth Proportional to 13,763.87, 20,641.37 and 3,900.50

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Solution

The fourth proportional to 13,763.87, 20,641.37 and 3,900.50 is: 5,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.87 : 20,641.37 = 3,900.50 : x
  2. Step 2: Convert to fraction form
    13,763.87/20,641.37 = 3,900.50/x
  3. Step 3: Cross multiply
    13,763.87x = 20,641.37 × 3,900.50
  4. Step 4: Simplify right side
    13,763.87x = 80,511,700.66
  5. Step 5: Solve for x
    x = 80,511,700.66/13,763.87
  6. Step 6: Final answer
    x = 5,849.49

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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.