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Finding the Fourth Proportional to 20,069.44, 30,105.60 and 8,383.84

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Solution

The fourth proportional to 20,069.44, 30,105.60 and 8,383.84 is: 12,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069.44 : 30,105.60 = 8,383.84 : x
  2. Step 2: Convert to fraction form
    20,069.44/30,105.60 = 8,383.84/x
  3. Step 3: Cross multiply
    20,069.44x = 30,105.60 × 8,383.84
  4. Step 4: Simplify right side
    20,069.44x = 252,400,533.50
  5. Step 5: Solve for x
    x = 252,400,533.50/20,069.44
  6. Step 6: Final answer
    x = 12,576.36

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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.