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Finding the Fourth Proportional to 22,581.78, 31,163.40 and 16,906.51

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Solution

The fourth proportional to 22,581.78, 31,163.40 and 16,906.51 is: 23,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.78 : 31,163.40 = 16,906.51 : x
  2. Step 2: Convert to fraction form
    22,581.78/31,163.40 = 16,906.51/x
  3. Step 3: Cross multiply
    22,581.78x = 31,163.40 × 16,906.51
  4. Step 4: Simplify right side
    22,581.78x = 526,864,333.73
  5. Step 5: Solve for x
    x = 526,864,333.73/22,581.78
  6. Step 6: Final answer
    x = 23,331.39

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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.