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Finding the Fourth Proportional to 20,098.52, 30,172.38 and 19,305.73

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Solution

The fourth proportional to 20,098.52, 30,172.38 and 19,305.73 is: 28,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.52 : 30,172.38 = 19,305.73 : x
  2. Step 2: Convert to fraction form
    20,098.52/30,172.38 = 19,305.73/x
  3. Step 3: Cross multiply
    20,098.52x = 30,172.38 × 19,305.73
  4. Step 4: Simplify right side
    20,098.52x = 582,499,821.74
  5. Step 5: Solve for x
    x = 582,499,821.74/20,098.52
  6. Step 6: Final answer
    x = 28,982.22

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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.