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Finding the Fourth Proportional to 20,616.30, 30,921.03 and 5,821.83

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Solution

The fourth proportional to 20,616.30, 30,921.03 and 5,821.83 is: 8,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616.30 : 30,921.03 = 5,821.83 : x
  2. Step 2: Convert to fraction form
    20,616.30/30,921.03 = 5,821.83/x
  3. Step 3: Cross multiply
    20,616.30x = 30,921.03 × 5,821.83
  4. Step 4: Simplify right side
    20,616.30x = 180,016,980.08
  5. Step 5: Solve for x
    x = 180,016,980.08/20,616.30
  6. Step 6: Final answer
    x = 8,731.78

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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.