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Finding the Fourth Proportional to 20,097.43, 30,143.98 and 8,252.45

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Solution

The fourth proportional to 20,097.43, 30,143.98 and 8,252.45 is: 12,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.43 : 30,143.98 = 8,252.45 : x
  2. Step 2: Convert to fraction form
    20,097.43/30,143.98 = 8,252.45/x
  3. Step 3: Cross multiply
    20,097.43x = 30,143.98 × 8,252.45
  4. Step 4: Simplify right side
    20,097.43x = 248,761,660.39
  5. Step 5: Solve for x
    x = 248,761,660.39/20,097.43
  6. Step 6: Final answer
    x = 12,377.79

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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.