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Finding the Fourth Proportional to 18,167, 25,072.62 and 11,893.28

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Solution

The fourth proportional to 18,167, 25,072.62 and 11,893.28 is: 16,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,167 : 25,072.62 = 11,893.28 : x
  2. Step 2: Convert to fraction form
    18,167/25,072.62 = 11,893.28/x
  3. Step 3: Cross multiply
    18,167x = 25,072.62 × 11,893.28
  4. Step 4: Simplify right side
    18,167x = 298,195,689.99
  5. Step 5: Solve for x
    x = 298,195,689.99/18,167
  6. Step 6: Final answer
    x = 16,414.14

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Why These Related Problems?

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