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Finding the Fourth Proportional to 21,104.61, 31,645.22 and 8,633.39

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Solution

The fourth proportional to 21,104.61, 31,645.22 and 8,633.39 is: 12,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.61 : 31,645.22 = 8,633.39 : x
  2. Step 2: Convert to fraction form
    21,104.61/31,645.22 = 8,633.39/x
  3. Step 3: Cross multiply
    21,104.61x = 31,645.22 × 8,633.39
  4. Step 4: Simplify right side
    21,104.61x = 273,205,324.50
  5. Step 5: Solve for x
    x = 273,205,324.50/21,104.61
  6. Step 6: Final answer
    x = 12,945.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.