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Finding the Fourth Proportional to 16,267.39, 22,447.15 and 9,193.79

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Solution

The fourth proportional to 16,267.39, 22,447.15 and 9,193.79 is: 12,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.39 : 22,447.15 = 9,193.79 : x
  2. Step 2: Convert to fraction form
    16,267.39/22,447.15 = 9,193.79/x
  3. Step 3: Cross multiply
    16,267.39x = 22,447.15 × 9,193.79
  4. Step 4: Simplify right side
    16,267.39x = 206,374,416.33
  5. Step 5: Solve for x
    x = 206,374,416.33/16,267.39
  6. Step 6: Final answer
    x = 12,686.39

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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.