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Finding the Fourth Proportional to 20,182.92, 30,270.79 and 6,139.54

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Solution

The fourth proportional to 20,182.92, 30,270.79 and 6,139.54 is: 9,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.92 : 30,270.79 = 6,139.54 : x
  2. Step 2: Convert to fraction form
    20,182.92/30,270.79 = 6,139.54/x
  3. Step 3: Cross multiply
    20,182.92x = 30,270.79 × 6,139.54
  4. Step 4: Simplify right side
    20,182.92x = 185,848,726.04
  5. Step 5: Solve for x
    x = 185,848,726.04/20,182.92
  6. Step 6: Final answer
    x = 9,208.22

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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.