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Finding the Fourth Proportional to 26,809.45, 40,201.11 and 8,086

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Solution

The fourth proportional to 26,809.45, 40,201.11 and 8,086 is: 12,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,809.45 : 40,201.11 = 8,086 : x
  2. Step 2: Convert to fraction form
    26,809.45/40,201.11 = 8,086/x
  3. Step 3: Cross multiply
    26,809.45x = 40,201.11 × 8,086
  4. Step 4: Simplify right side
    26,809.45x = 325,066,175.46
  5. Step 5: Solve for x
    x = 325,066,175.46/26,809.45
  6. Step 6: Final answer
    x = 12,125.06

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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.