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Finding the Fourth Proportional to 20,182.05, 30,272.97 and 6,141.99

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Solution

The fourth proportional to 20,182.05, 30,272.97 and 6,141.99 is: 9,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.05 : 30,272.97 = 6,141.99 : x
  2. Step 2: Convert to fraction form
    20,182.05/30,272.97 = 6,141.99/x
  3. Step 3: Cross multiply
    20,182.05x = 30,272.97 × 6,141.99
  4. Step 4: Simplify right side
    20,182.05x = 185,936,279.01
  5. Step 5: Solve for x
    x = 185,936,279.01/20,182.05
  6. Step 6: Final answer
    x = 9,212.95

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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.