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Finding the Fourth Proportional to 16,318, 22,518.84 and 9,694

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Solution

The fourth proportional to 16,318, 22,518.84 and 9,694 is: 13,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,318 : 22,518.84 = 9,694 : x
  2. Step 2: Convert to fraction form
    16,318/22,518.84 = 9,694/x
  3. Step 3: Cross multiply
    16,318x = 22,518.84 × 9,694
  4. Step 4: Simplify right side
    16,318x = 218,297,634.96
  5. Step 5: Solve for x
    x = 218,297,634.96/16,318
  6. Step 6: Final answer
    x = 13,377.72

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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.