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Finding the Fourth Proportional to 20,830.97, 28,744.98 and 11,755.83

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Solution

The fourth proportional to 20,830.97, 28,744.98 and 11,755.83 is: 16,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.97 : 28,744.98 = 11,755.83 : x
  2. Step 2: Convert to fraction form
    20,830.97/28,744.98 = 11,755.83/x
  3. Step 3: Cross multiply
    20,830.97x = 28,744.98 × 11,755.83
  4. Step 4: Simplify right side
    20,830.97x = 337,921,161.94
  5. Step 5: Solve for x
    x = 337,921,161.94/20,830.97
  6. Step 6: Final answer
    x = 16,222.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.