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Finding the Fourth Proportional to 20,349.60, 30,519.78 and 7,201.97

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Solution

The fourth proportional to 20,349.60, 30,519.78 and 7,201.97 is: 10,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349.60 : 30,519.78 = 7,201.97 : x
  2. Step 2: Convert to fraction form
    20,349.60/30,519.78 = 7,201.97/x
  3. Step 3: Cross multiply
    20,349.60x = 30,519.78 × 7,201.97
  4. Step 4: Simplify right side
    20,349.60x = 219,802,387.37
  5. Step 5: Solve for x
    x = 219,802,387.37/20,349.60
  6. Step 6: Final answer
    x = 10,801.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.