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Finding the Fourth Proportional to 20,660.38, 30,990.30 and 5,078.14

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Solution

The fourth proportional to 20,660.38, 30,990.30 and 5,078.14 is: 7,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,660.38 : 30,990.30 = 5,078.14 : x
  2. Step 2: Convert to fraction form
    20,660.38/30,990.30 = 5,078.14/x
  3. Step 3: Cross multiply
    20,660.38x = 30,990.30 × 5,078.14
  4. Step 4: Simplify right side
    20,660.38x = 157,373,082.04
  5. Step 5: Solve for x
    x = 157,373,082.04/20,660.38
  6. Step 6: Final answer
    x = 7,617.14

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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.