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Finding the Fourth Proportional to 13,229.87, 18,250.29 and 8,192.48

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Solution

The fourth proportional to 13,229.87, 18,250.29 and 8,192.48 is: 11,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.87 : 18,250.29 = 8,192.48 : x
  2. Step 2: Convert to fraction form
    13,229.87/18,250.29 = 8,192.48/x
  3. Step 3: Cross multiply
    13,229.87x = 18,250.29 × 8,192.48
  4. Step 4: Simplify right side
    13,229.87x = 149,515,044.57
  5. Step 5: Solve for x
    x = 149,515,044.57/13,229.87
  6. Step 6: Final answer
    x = 11,301.33

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1.5x scale

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.