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Finding the Fourth Proportional to 17,857.82, 24,616.96 and 11,876.78

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Solution

The fourth proportional to 17,857.82, 24,616.96 and 11,876.78 is: 16,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.82 : 24,616.96 = 11,876.78 : x
  2. Step 2: Convert to fraction form
    17,857.82/24,616.96 = 11,876.78/x
  3. Step 3: Cross multiply
    17,857.82x = 24,616.96 × 11,876.78
  4. Step 4: Simplify right side
    17,857.82x = 292,370,065.41
  5. Step 5: Solve for x
    x = 292,370,065.41/17,857.82
  6. Step 6: Final answer
    x = 16,372.11

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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.