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Finding the Fourth Proportional to 25,665.89, 38,500.22 and 8,137.09

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Solution

The fourth proportional to 25,665.89, 38,500.22 and 8,137.09 is: 12,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.89 : 38,500.22 = 8,137.09 : x
  2. Step 2: Convert to fraction form
    25,665.89/38,500.22 = 8,137.09/x
  3. Step 3: Cross multiply
    25,665.89x = 38,500.22 × 8,137.09
  4. Step 4: Simplify right side
    25,665.89x = 313,279,755.16
  5. Step 5: Solve for x
    x = 313,279,755.16/25,665.89
  6. Step 6: Final answer
    x = 12,206.07

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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.