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Finding the Fourth Proportional to 20,142.66, 30,203.73 and 10,660.17

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Solution

The fourth proportional to 20,142.66, 30,203.73 and 10,660.17 is: 15,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.66 : 30,203.73 = 10,660.17 : x
  2. Step 2: Convert to fraction form
    20,142.66/30,203.73 = 10,660.17/x
  3. Step 3: Cross multiply
    20,142.66x = 30,203.73 × 10,660.17
  4. Step 4: Simplify right side
    20,142.66x = 321,976,896.43
  5. Step 5: Solve for x
    x = 321,976,896.43/20,142.66
  6. Step 6: Final answer
    x = 15,984.83

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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.