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Finding the Fourth Proportional to 20,177.80, 27,834.90 and 11,789.44

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Solution

The fourth proportional to 20,177.80, 27,834.90 and 11,789.44 is: 16,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.80 : 27,834.90 = 11,789.44 : x
  2. Step 2: Convert to fraction form
    20,177.80/27,834.90 = 11,789.44/x
  3. Step 3: Cross multiply
    20,177.80x = 27,834.90 × 11,789.44
  4. Step 4: Simplify right side
    20,177.80x = 328,157,883.46
  5. Step 5: Solve for x
    x = 328,157,883.46/20,177.80
  6. Step 6: Final answer
    x = 16,263.31

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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.