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Finding the Fourth Proportional to 36,540, 54,811.80 and 11,916

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Solution

The fourth proportional to 36,540, 54,811.80 and 11,916 is: 17,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540 : 54,811.80 = 11,916 : x
  2. Step 2: Convert to fraction form
    36,540/54,811.80 = 11,916/x
  3. Step 3: Cross multiply
    36,540x = 54,811.80 × 11,916
  4. Step 4: Simplify right side
    36,540x = 653,137,408.80
  5. Step 5: Solve for x
    x = 653,137,408.80/36,540
  6. Step 6: Final answer
    x = 17,874.59

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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.