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Finding the Fourth Proportional to 16,224.82, 24,328.52 and 8,324.08

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Solution

The fourth proportional to 16,224.82, 24,328.52 and 8,324.08 is: 12,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.82 : 24,328.52 = 8,324.08 : x
  2. Step 2: Convert to fraction form
    16,224.82/24,328.52 = 8,324.08/x
  3. Step 3: Cross multiply
    16,224.82x = 24,328.52 × 8,324.08
  4. Step 4: Simplify right side
    16,224.82x = 202,512,383.50
  5. Step 5: Solve for x
    x = 202,512,383.50/16,224.82
  6. Step 6: Final answer
    x = 12,481.65

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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.