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Finding the Fourth Proportional to 20,103.98, 30,149.00 and 8,254.38

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Solution

The fourth proportional to 20,103.98, 30,149.00 and 8,254.38 is: 12,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.98 : 30,149.00 = 8,254.38 : x
  2. Step 2: Convert to fraction form
    20,103.98/30,149.00 = 8,254.38/x
  3. Step 3: Cross multiply
    20,103.98x = 30,149.00 × 8,254.38
  4. Step 4: Simplify right side
    20,103.98x = 248,861,261.35
  5. Step 5: Solve for x
    x = 248,861,261.35/20,103.98
  6. Step 6: Final answer
    x = 12,378.71

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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.