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Finding the Fourth Proportional to 16,097.50, 24,144.20 and 6,230.04

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Solution

The fourth proportional to 16,097.50, 24,144.20 and 6,230.04 is: 9,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.50 : 24,144.20 = 6,230.04 : x
  2. Step 2: Convert to fraction form
    16,097.50/24,144.20 = 6,230.04/x
  3. Step 3: Cross multiply
    16,097.50x = 24,144.20 × 6,230.04
  4. Step 4: Simplify right side
    16,097.50x = 150,419,331.77
  5. Step 5: Solve for x
    x = 150,419,331.77/16,097.50
  6. Step 6: Final answer
    x = 9,344.27

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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.