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Finding the Fourth Proportional to 38,198.94, 57,311.77 and 14,841.78

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Solution

The fourth proportional to 38,198.94, 57,311.77 and 14,841.78 is: 22,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.94 : 57,311.77 = 14,841.78 : x
  2. Step 2: Convert to fraction form
    38,198.94/57,311.77 = 14,841.78/x
  3. Step 3: Cross multiply
    38,198.94x = 57,311.77 × 14,841.78
  4. Step 4: Simplify right side
    38,198.94x = 850,608,681.75
  5. Step 5: Solve for x
    x = 850,608,681.75/38,198.94
  6. Step 6: Final answer
    x = 22,267.86

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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.