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Finding the Fourth Proportional to 16,324.19, 22,527.38 and 8,872.19

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Solution

The fourth proportional to 16,324.19, 22,527.38 and 8,872.19 is: 12,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.19 : 22,527.38 = 8,872.19 : x
  2. Step 2: Convert to fraction form
    16,324.19/22,527.38 = 8,872.19/x
  3. Step 3: Cross multiply
    16,324.19x = 22,527.38 × 8,872.19
  4. Step 4: Simplify right side
    16,324.19x = 199,867,195.56
  5. Step 5: Solve for x
    x = 199,867,195.56/16,324.19
  6. Step 6: Final answer
    x = 12,243.62

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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.