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Finding the Fourth Proportional to 27,745.74, 41,617.40 and 8,023.86

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Solution

The fourth proportional to 27,745.74, 41,617.40 and 8,023.86 is: 12,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.74 : 41,617.40 = 8,023.86 : x
  2. Step 2: Convert to fraction form
    27,745.74/41,617.40 = 8,023.86/x
  3. Step 3: Cross multiply
    27,745.74x = 41,617.40 × 8,023.86
  4. Step 4: Simplify right side
    27,745.74x = 333,932,151.04
  5. Step 5: Solve for x
    x = 333,932,151.04/27,745.74
  6. Step 6: Final answer
    x = 12,035.44

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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.