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Finding the Fourth Proportional to 22,819.80, 34,230.03 and 6,179.82

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Solution

The fourth proportional to 22,819.80, 34,230.03 and 6,179.82 is: 9,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.80 : 34,230.03 = 6,179.82 : x
  2. Step 2: Convert to fraction form
    22,819.80/34,230.03 = 6,179.82/x
  3. Step 3: Cross multiply
    22,819.80x = 34,230.03 × 6,179.82
  4. Step 4: Simplify right side
    22,819.80x = 211,535,423.99
  5. Step 5: Solve for x
    x = 211,535,423.99/22,819.80
  6. Step 6: Final answer
    x = 9,269.82

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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.