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Finding the Fourth Proportional to 20,367.96, 30,542.28 and 7,893.84

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Solution

The fourth proportional to 20,367.96, 30,542.28 and 7,893.84 is: 11,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,367.96 : 30,542.28 = 7,893.84 : x
  2. Step 2: Convert to fraction form
    20,367.96/30,542.28 = 7,893.84/x
  3. Step 3: Cross multiply
    20,367.96x = 30,542.28 × 7,893.84
  4. Step 4: Simplify right side
    20,367.96x = 241,095,871.56
  5. Step 5: Solve for x
    x = 241,095,871.56/20,367.96
  6. Step 6: Final answer
    x = 11,837.02

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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.