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Finding the Fourth Proportional to 20,164.95, 30,253.57 and 10,311.15

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Solution

The fourth proportional to 20,164.95, 30,253.57 and 10,311.15 is: 15,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.95 : 30,253.57 = 10,311.15 : x
  2. Step 2: Convert to fraction form
    20,164.95/30,253.57 = 10,311.15/x
  3. Step 3: Cross multiply
    20,164.95x = 30,253.57 × 10,311.15
  4. Step 4: Simplify right side
    20,164.95x = 311,949,017.08
  5. Step 5: Solve for x
    x = 311,949,017.08/20,164.95
  6. Step 6: Final answer
    x = 15,469.87

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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.