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Finding the Fourth Proportional to 16,144.62, 24,171.78 and 8,722.50

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Solution

The fourth proportional to 16,144.62, 24,171.78 and 8,722.50 is: 13,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.62 : 24,171.78 = 8,722.50 : x
  2. Step 2: Convert to fraction form
    16,144.62/24,171.78 = 8,722.50/x
  3. Step 3: Cross multiply
    16,144.62x = 24,171.78 × 8,722.50
  4. Step 4: Simplify right side
    16,144.62x = 210,838,351.05
  5. Step 5: Solve for x
    x = 210,838,351.05/16,144.62
  6. Step 6: Final answer
    x = 13,059.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.