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Finding the Fourth Proportional to 13,481.97, 20,216.22 and 7,861.60

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Solution

The fourth proportional to 13,481.97, 20,216.22 and 7,861.60 is: 11,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.97 : 20,216.22 = 7,861.60 : x
  2. Step 2: Convert to fraction form
    13,481.97/20,216.22 = 7,861.60/x
  3. Step 3: Cross multiply
    13,481.97x = 20,216.22 × 7,861.60
  4. Step 4: Simplify right side
    13,481.97x = 158,931,835.15
  5. Step 5: Solve for x
    x = 158,931,835.15/13,481.97
  6. Step 6: Final answer
    x = 11,788.47

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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.