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Finding the Fourth Proportional to 13,524.57, 20,286.86 and 11,347.29

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Solution

The fourth proportional to 13,524.57, 20,286.86 and 11,347.29 is: 17,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.57 : 20,286.86 = 11,347.29 : x
  2. Step 2: Convert to fraction form
    13,524.57/20,286.86 = 11,347.29/x
  3. Step 3: Cross multiply
    13,524.57x = 20,286.86 × 11,347.29
  4. Step 4: Simplify right side
    13,524.57x = 230,200,826.87
  5. Step 5: Solve for x
    x = 230,200,826.87/13,524.57
  6. Step 6: Final answer
    x = 17,020.94

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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.