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Finding the Fourth Proportional to 25,212.89, 37,819.32 and 7,682.87

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Solution

The fourth proportional to 25,212.89, 37,819.32 and 7,682.87 is: 11,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,212.89 : 37,819.32 = 7,682.87 : x
  2. Step 2: Convert to fraction form
    25,212.89/37,819.32 = 7,682.87/x
  3. Step 3: Cross multiply
    25,212.89x = 37,819.32 × 7,682.87
  4. Step 4: Simplify right side
    25,212.89x = 290,560,919.05
  5. Step 5: Solve for x
    x = 290,560,919.05/25,212.89
  6. Step 6: Final answer
    x = 11,524.30

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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.