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Finding the Fourth Proportional to 25,227.77, 37,841.49 and 7,697.61

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Solution

The fourth proportional to 25,227.77, 37,841.49 and 7,697.61 is: 11,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.77 : 37,841.49 = 7,697.61 : x
  2. Step 2: Convert to fraction form
    25,227.77/37,841.49 = 7,697.61/x
  3. Step 3: Cross multiply
    25,227.77x = 37,841.49 × 7,697.61
  4. Step 4: Simplify right side
    25,227.77x = 291,289,031.84
  5. Step 5: Solve for x
    x = 291,289,031.84/25,227.77
  6. Step 6: Final answer
    x = 11,546.37

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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.