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Finding the Fourth Proportional to 16,205.16, 22,362.78 and 9,131.58

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Solution

The fourth proportional to 16,205.16, 22,362.78 and 9,131.58 is: 12,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.16 : 22,362.78 = 9,131.58 : x
  2. Step 2: Convert to fraction form
    16,205.16/22,362.78 = 9,131.58/x
  3. Step 3: Cross multiply
    16,205.16x = 22,362.78 × 9,131.58
  4. Step 4: Simplify right side
    16,205.16x = 204,207,514.59
  5. Step 5: Solve for x
    x = 204,207,514.59/16,205.16
  6. Step 6: Final answer
    x = 12,601.39

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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.