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Finding the Fourth Proportional to 16,636.22, 24,932.46 and 8,207.36

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Solution

The fourth proportional to 16,636.22, 24,932.46 and 8,207.36 is: 12,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,636.22 : 24,932.46 = 8,207.36 : x
  2. Step 2: Convert to fraction form
    16,636.22/24,932.46 = 8,207.36/x
  3. Step 3: Cross multiply
    16,636.22x = 24,932.46 × 8,207.36
  4. Step 4: Simplify right side
    16,636.22x = 204,629,628.35
  5. Step 5: Solve for x
    x = 204,629,628.35/16,636.22
  6. Step 6: Final answer
    x = 12,300.25

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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.