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Finding the Fourth Proportional to 22,099.12, 33,150.18 and 6,305.38

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Solution

The fourth proportional to 22,099.12, 33,150.18 and 6,305.38 is: 9,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.12 : 33,150.18 = 6,305.38 : x
  2. Step 2: Convert to fraction form
    22,099.12/33,150.18 = 6,305.38/x
  3. Step 3: Cross multiply
    22,099.12x = 33,150.18 × 6,305.38
  4. Step 4: Simplify right side
    22,099.12x = 209,024,481.97
  5. Step 5: Solve for x
    x = 209,024,481.97/22,099.12
  6. Step 6: Final answer
    x = 9,458.50

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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.