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Finding the Fourth Proportional to 27,738.98, 41,601 and 12,933.44

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Solution

The fourth proportional to 27,738.98, 41,601 and 12,933.44 is: 19,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.98 : 41,601 = 12,933.44 : x
  2. Step 2: Convert to fraction form
    27,738.98/41,601 = 12,933.44/x
  3. Step 3: Cross multiply
    27,738.98x = 41,601 × 12,933.44
  4. Step 4: Simplify right side
    27,738.98x = 538,044,037.44
  5. Step 5: Solve for x
    x = 538,044,037.44/27,738.98
  6. Step 6: Final answer
    x = 19,396.68

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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.