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Finding the Fourth Proportional to 20,201.38, 30,305.35 and 5,971.30

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Solution

The fourth proportional to 20,201.38, 30,305.35 and 5,971.30 is: 8,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.38 : 30,305.35 = 5,971.30 : x
  2. Step 2: Convert to fraction form
    20,201.38/30,305.35 = 5,971.30/x
  3. Step 3: Cross multiply
    20,201.38x = 30,305.35 × 5,971.30
  4. Step 4: Simplify right side
    20,201.38x = 180,962,336.46
  5. Step 5: Solve for x
    x = 180,962,336.46/20,201.38
  6. Step 6: Final answer
    x = 8,957.92

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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.