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Finding the Fourth Proportional to 20,038.46, 30,057.57 and 8,189.73

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Solution

The fourth proportional to 20,038.46, 30,057.57 and 8,189.73 is: 12,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.46 : 30,057.57 = 8,189.73 : x
  2. Step 2: Convert to fraction form
    20,038.46/30,057.57 = 8,189.73/x
  3. Step 3: Cross multiply
    20,038.46x = 30,057.57 × 8,189.73
  4. Step 4: Simplify right side
    20,038.46x = 246,163,382.76
  5. Step 5: Solve for x
    x = 246,163,382.76/20,038.46
  6. Step 6: Final answer
    x = 12,284.55

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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.