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Finding the Fourth Proportional to 12,257.78, 18,384.94 and 3,936.71

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Solution

The fourth proportional to 12,257.78, 18,384.94 and 3,936.71 is: 5,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.78 : 18,384.94 = 3,936.71 : x
  2. Step 2: Convert to fraction form
    12,257.78/18,384.94 = 3,936.71/x
  3. Step 3: Cross multiply
    12,257.78x = 18,384.94 × 3,936.71
  4. Step 4: Simplify right side
    12,257.78x = 72,376,177.15
  5. Step 5: Solve for x
    x = 72,376,177.15/12,257.78
  6. Step 6: Final answer
    x = 5,904.51

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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.