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Finding the Fourth Proportional to 20,425.05, 30,641.94 and 7,098.48

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Solution

The fourth proportional to 20,425.05, 30,641.94 and 7,098.48 is: 10,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,425.05 : 30,641.94 = 7,098.48 : x
  2. Step 2: Convert to fraction form
    20,425.05/30,641.94 = 7,098.48/x
  3. Step 3: Cross multiply
    20,425.05x = 30,641.94 × 7,098.48
  4. Step 4: Simplify right side
    20,425.05x = 217,511,198.25
  5. Step 5: Solve for x
    x = 217,511,198.25/20,425.05
  6. Step 6: Final answer
    x = 10,649.24

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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.