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Finding the Fourth Proportional to 26,765.86, 40,147.26 and 8,045.53

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Solution

The fourth proportional to 26,765.86, 40,147.26 and 8,045.53 is: 12,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,765.86 : 40,147.26 = 8,045.53 : x
  2. Step 2: Convert to fraction form
    26,765.86/40,147.26 = 8,045.53/x
  3. Step 3: Cross multiply
    26,765.86x = 40,147.26 × 8,045.53
  4. Step 4: Simplify right side
    26,765.86x = 323,005,899.47
  5. Step 5: Solve for x
    x = 323,005,899.47/26,765.86
  6. Step 6: Final answer
    x = 12,067.83

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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.