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Finding the Fourth Proportional to 25,192.37, 37,790.37 and 7,662.14

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Solution

The fourth proportional to 25,192.37, 37,790.37 and 7,662.14 is: 11,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,192.37 : 37,790.37 = 7,662.14 : x
  2. Step 2: Convert to fraction form
    25,192.37/37,790.37 = 7,662.14/x
  3. Step 3: Cross multiply
    25,192.37x = 37,790.37 × 7,662.14
  4. Step 4: Simplify right side
    25,192.37x = 289,555,105.59
  5. Step 5: Solve for x
    x = 289,555,105.59/25,192.37
  6. Step 6: Final answer
    x = 11,493.76

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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.