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Finding the Fourth Proportional to 18,500.94, 27,755.50 and 8,634.83

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Solution

The fourth proportional to 18,500.94, 27,755.50 and 8,634.83 is: 12,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,500.94 : 27,755.50 = 8,634.83 : x
  2. Step 2: Convert to fraction form
    18,500.94/27,755.50 = 8,634.83/x
  3. Step 3: Cross multiply
    18,500.94x = 27,755.50 × 8,634.83
  4. Step 4: Simplify right side
    18,500.94x = 239,664,024.07
  5. Step 5: Solve for x
    x = 239,664,024.07/18,500.94
  6. Step 6: Final answer
    x = 12,954.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.