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Finding the Fourth Proportional to 20,520.27, 30,838.12 and 12,201.77

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Solution

The fourth proportional to 20,520.27, 30,838.12 and 12,201.77 is: 18,336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520.27 : 30,838.12 = 12,201.77 : x
  2. Step 2: Convert to fraction form
    20,520.27/30,838.12 = 12,201.77/x
  3. Step 3: Cross multiply
    20,520.27x = 30,838.12 × 12,201.77
  4. Step 4: Simplify right side
    20,520.27x = 376,279,694.06
  5. Step 5: Solve for x
    x = 376,279,694.06/20,520.27
  6. Step 6: Final answer
    x = 18,336.98

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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.