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Finding the Fourth Proportional to 13,613.28, 20,414.07 and 6,222.39

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Solution

The fourth proportional to 13,613.28, 20,414.07 and 6,222.39 is: 9,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.28 : 20,414.07 = 6,222.39 : x
  2. Step 2: Convert to fraction form
    13,613.28/20,414.07 = 6,222.39/x
  3. Step 3: Cross multiply
    13,613.28x = 20,414.07 × 6,222.39
  4. Step 4: Simplify right side
    13,613.28x = 127,024,305.03
  5. Step 5: Solve for x
    x = 127,024,305.03/13,613.28
  6. Step 6: Final answer
    x = 9,330.91

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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.