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Finding the Fourth Proportional to 16,467, 22,724.46 and 9,015

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Solution

The fourth proportional to 16,467, 22,724.46 and 9,015 is: 12,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467 : 22,724.46 = 9,015 : x
  2. Step 2: Convert to fraction form
    16,467/22,724.46 = 9,015/x
  3. Step 3: Cross multiply
    16,467x = 22,724.46 × 9,015
  4. Step 4: Simplify right side
    16,467x = 204,861,006.90
  5. Step 5: Solve for x
    x = 204,861,006.90/16,467
  6. Step 6: Final answer
    x = 12,440.70

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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.