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Finding the Fourth Proportional to 13,613.70, 20,410.94 and 5,286.78

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Solution

The fourth proportional to 13,613.70, 20,410.94 and 5,286.78 is: 7,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.70 : 20,410.94 = 5,286.78 : x
  2. Step 2: Convert to fraction form
    13,613.70/20,410.94 = 5,286.78/x
  3. Step 3: Cross multiply
    13,613.70x = 20,410.94 × 5,286.78
  4. Step 4: Simplify right side
    13,613.70x = 107,908,149.37
  5. Step 5: Solve for x
    x = 107,908,149.37/13,613.70
  6. Step 6: Final answer
    x = 7,926.44

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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.