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Finding the Fourth Proportional to 16,467, 22,727.34 and 9,843

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Solution

The fourth proportional to 16,467, 22,727.34 and 9,843 is: 13,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467 : 22,727.34 = 9,843 : x
  2. Step 2: Convert to fraction form
    16,467/22,727.34 = 9,843/x
  3. Step 3: Cross multiply
    16,467x = 22,727.34 × 9,843
  4. Step 4: Simplify right side
    16,467x = 223,705,207.62
  5. Step 5: Solve for x
    x = 223,705,207.62/16,467
  6. Step 6: Final answer
    x = 13,585.06

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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.