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Finding the Fourth Proportional to 13,471.40, 20,198.46 and 5,678.12

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Solution

The fourth proportional to 13,471.40, 20,198.46 and 5,678.12 is: 8,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.40 : 20,198.46 = 5,678.12 : x
  2. Step 2: Convert to fraction form
    13,471.40/20,198.46 = 5,678.12/x
  3. Step 3: Cross multiply
    13,471.40x = 20,198.46 × 5,678.12
  4. Step 4: Simplify right side
    13,471.40x = 114,689,279.70
  5. Step 5: Solve for x
    x = 114,689,279.70/13,471.40
  6. Step 6: Final answer
    x = 8,513.54

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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.