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Finding the Fourth Proportional to 27,739.41, 41,607.50 and 8,017.53

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Solution

The fourth proportional to 27,739.41, 41,607.50 and 8,017.53 is: 12,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.41 : 41,607.50 = 8,017.53 : x
  2. Step 2: Convert to fraction form
    27,739.41/41,607.50 = 8,017.53/x
  3. Step 3: Cross multiply
    27,739.41x = 41,607.50 × 8,017.53
  4. Step 4: Simplify right side
    27,739.41x = 333,589,339.39
  5. Step 5: Solve for x
    x = 333,589,339.39/27,739.41
  6. Step 6: Final answer
    x = 12,025.83

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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.