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Finding the Fourth Proportional to 36,512.68, 54,778.74 and 11,553.20

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Solution

The fourth proportional to 36,512.68, 54,778.74 and 11,553.20 is: 17,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,512.68 : 54,778.74 = 11,553.20 : x
  2. Step 2: Convert to fraction form
    36,512.68/54,778.74 = 11,553.20/x
  3. Step 3: Cross multiply
    36,512.68x = 54,778.74 × 11,553.20
  4. Step 4: Simplify right side
    36,512.68x = 632,869,738.97
  5. Step 5: Solve for x
    x = 632,869,738.97/36,512.68
  6. Step 6: Final answer
    x = 17,332.88

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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.