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Finding the Fourth Proportional to 26,771.26, 40,162.64 and 8,049.74

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Solution

The fourth proportional to 26,771.26, 40,162.64 and 8,049.74 is: 12,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,771.26 : 40,162.64 = 8,049.74 : x
  2. Step 2: Convert to fraction form
    26,771.26/40,162.64 = 8,049.74/x
  3. Step 3: Cross multiply
    26,771.26x = 40,162.64 × 8,049.74
  4. Step 4: Simplify right side
    26,771.26x = 323,298,809.71
  5. Step 5: Solve for x
    x = 323,298,809.71/26,771.26
  6. Step 6: Final answer
    x = 12,076.34

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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.