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Finding the Fourth Proportional to 25,212.95, 37,819.43 and 7,682.79

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Solution

The fourth proportional to 25,212.95, 37,819.43 and 7,682.79 is: 11,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,212.95 : 37,819.43 = 7,682.79 : x
  2. Step 2: Convert to fraction form
    25,212.95/37,819.43 = 7,682.79/x
  3. Step 3: Cross multiply
    25,212.95x = 37,819.43 × 7,682.79
  4. Step 4: Simplify right side
    25,212.95x = 290,558,738.61
  5. Step 5: Solve for x
    x = 290,558,738.61/25,212.95
  6. Step 6: Final answer
    x = 11,524.19

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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.