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Finding the Fourth Proportional to 16,265.39, 22,446.09 and 8,813.39

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Solution

The fourth proportional to 16,265.39, 22,446.09 and 8,813.39 is: 12,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.39 : 22,446.09 = 8,813.39 : x
  2. Step 2: Convert to fraction form
    16,265.39/22,446.09 = 8,813.39/x
  3. Step 3: Cross multiply
    16,265.39x = 22,446.09 × 8,813.39
  4. Step 4: Simplify right side
    16,265.39x = 197,826,032.91
  5. Step 5: Solve for x
    x = 197,826,032.91/16,265.39
  6. Step 6: Final answer
    x = 12,162.39

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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.