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Finding the Fourth Proportional to 20,733.90, 31,104.90 and 8,251.80

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Solution

The fourth proportional to 20,733.90, 31,104.90 and 8,251.80 is: 12,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,733.90 : 31,104.90 = 8,251.80 : x
  2. Step 2: Convert to fraction form
    20,733.90/31,104.90 = 8,251.80/x
  3. Step 3: Cross multiply
    20,733.90x = 31,104.90 × 8,251.80
  4. Step 4: Simplify right side
    20,733.90x = 256,671,413.82
  5. Step 5: Solve for x
    x = 256,671,413.82/20,733.90
  6. Step 6: Final answer
    x = 12,379.31

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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.