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Finding the Fourth Proportional to 12,205.15, 18,299.22 and 5,622.28

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Solution

The fourth proportional to 12,205.15, 18,299.22 and 5,622.28 is: 8,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.15 : 18,299.22 = 5,622.28 : x
  2. Step 2: Convert to fraction form
    12,205.15/18,299.22 = 5,622.28/x
  3. Step 3: Cross multiply
    12,205.15x = 18,299.22 × 5,622.28
  4. Step 4: Simplify right side
    12,205.15x = 102,883,338.62
  5. Step 5: Solve for x
    x = 102,883,338.62/12,205.15
  6. Step 6: Final answer
    x = 8,429.50

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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.