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Finding the Fourth Proportional to 24,757.78, 37,136.02 and 7,227.76

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Solution

The fourth proportional to 24,757.78, 37,136.02 and 7,227.76 is: 10,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.78 : 37,136.02 = 7,227.76 : x
  2. Step 2: Convert to fraction form
    24,757.78/37,136.02 = 7,227.76/x
  3. Step 3: Cross multiply
    24,757.78x = 37,136.02 × 7,227.76
  4. Step 4: Simplify right side
    24,757.78x = 268,410,239.92
  5. Step 5: Solve for x
    x = 268,410,239.92/24,757.78
  6. Step 6: Final answer
    x = 10,841.45

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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.