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Finding the Fourth Proportional to 13,613.43, 20,414.86 and 5,292.35

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Solution

The fourth proportional to 13,613.43, 20,414.86 and 5,292.35 is: 7,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.43 : 20,414.86 = 5,292.35 : x
  2. Step 2: Convert to fraction form
    13,613.43/20,414.86 = 5,292.35/x
  3. Step 3: Cross multiply
    13,613.43x = 20,414.86 × 5,292.35
  4. Step 4: Simplify right side
    13,613.43x = 108,042,455.78
  5. Step 5: Solve for x
    x = 108,042,455.78/13,613.43
  6. Step 6: Final answer
    x = 7,936.46

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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.