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Finding the Fourth Proportional to 14,805.87, 20,431.62 and 8,091.60

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Solution

The fourth proportional to 14,805.87, 20,431.62 and 8,091.60 is: 11,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.87 : 20,431.62 = 8,091.60 : x
  2. Step 2: Convert to fraction form
    14,805.87/20,431.62 = 8,091.60/x
  3. Step 3: Cross multiply
    14,805.87x = 20,431.62 × 8,091.60
  4. Step 4: Simplify right side
    14,805.87x = 165,324,496.39
  5. Step 5: Solve for x
    x = 165,324,496.39/14,805.87
  6. Step 6: Final answer
    x = 11,166.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.