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Finding the Fourth Proportional to 16,872.69, 23,286.38 and 9,799.13

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Solution

The fourth proportional to 16,872.69, 23,286.38 and 9,799.13 is: 13,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.69 : 23,286.38 = 9,799.13 : x
  2. Step 2: Convert to fraction form
    16,872.69/23,286.38 = 9,799.13/x
  3. Step 3: Cross multiply
    16,872.69x = 23,286.38 × 9,799.13
  4. Step 4: Simplify right side
    16,872.69x = 228,186,099.42
  5. Step 5: Solve for x
    x = 228,186,099.42/16,872.69
  6. Step 6: Final answer
    x = 13,523.99

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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.