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Finding the Fourth Proportional to 18,578.67, 27,874.83 and 8,588.23

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Solution

The fourth proportional to 18,578.67, 27,874.83 and 8,588.23 is: 12,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.67 : 27,874.83 = 8,588.23 : x
  2. Step 2: Convert to fraction form
    18,578.67/27,874.83 = 8,588.23/x
  3. Step 3: Cross multiply
    18,578.67x = 27,874.83 × 8,588.23
  4. Step 4: Simplify right side
    18,578.67x = 239,395,413.77
  5. Step 5: Solve for x
    x = 239,395,413.77/18,578.67
  6. Step 6: Final answer
    x = 12,885.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.