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Finding the Fourth Proportional to 13,609.50, 20,414.25 and 4,375.50

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Solution

The fourth proportional to 13,609.50, 20,414.25 and 4,375.50 is: 6,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.50 : 20,414.25 = 4,375.50 : x
  2. Step 2: Convert to fraction form
    13,609.50/20,414.25 = 4,375.50/x
  3. Step 3: Cross multiply
    13,609.50x = 20,414.25 × 4,375.50
  4. Step 4: Simplify right side
    13,609.50x = 89,322,550.88
  5. Step 5: Solve for x
    x = 89,322,550.88/13,609.50
  6. Step 6: Final answer
    x = 6,563.25

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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.