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Finding the Fourth Proportional to 24,013.77, 33,137.16 and 13,940.57

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Solution

The fourth proportional to 24,013.77, 33,137.16 and 13,940.57 is: 19,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.77 : 33,137.16 = 13,940.57 : x
  2. Step 2: Convert to fraction form
    24,013.77/33,137.16 = 13,940.57/x
  3. Step 3: Cross multiply
    24,013.77x = 33,137.16 × 13,940.57
  4. Step 4: Simplify right side
    24,013.77x = 461,950,732.90
  5. Step 5: Solve for x
    x = 461,950,732.90/24,013.77
  6. Step 6: Final answer
    x = 19,236.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.