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Finding the Fourth Proportional to 26,857.86, 40,287.06 and 8,137.95

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Solution

The fourth proportional to 26,857.86, 40,287.06 and 8,137.95 is: 12,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,857.86 : 40,287.06 = 8,137.95 : x
  2. Step 2: Convert to fraction form
    26,857.86/40,287.06 = 8,137.95/x
  3. Step 3: Cross multiply
    26,857.86x = 40,287.06 × 8,137.95
  4. Step 4: Simplify right side
    26,857.86x = 327,854,079.93
  5. Step 5: Solve for x
    x = 327,854,079.93/26,857.86
  6. Step 6: Final answer
    x = 12,207.01

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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.