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Finding the Fourth Proportional to 13,529.27, 18,672.57 and 8,494.21

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Solution

The fourth proportional to 13,529.27, 18,672.57 and 8,494.21 is: 11,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.27 : 18,672.57 = 8,494.21 : x
  2. Step 2: Convert to fraction form
    13,529.27/18,672.57 = 8,494.21/x
  3. Step 3: Cross multiply
    13,529.27x = 18,672.57 × 8,494.21
  4. Step 4: Simplify right side
    13,529.27x = 158,608,754.16
  5. Step 5: Solve for x
    x = 158,608,754.16/13,529.27
  6. Step 6: Final answer
    x = 11,723.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.