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Finding the Fourth Proportional to 20,379.86, 30,563.84 and 7,897.10

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Solution

The fourth proportional to 20,379.86, 30,563.84 and 7,897.10 is: 11,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,379.86 : 30,563.84 = 7,897.10 : x
  2. Step 2: Convert to fraction form
    20,379.86/30,563.84 = 7,897.10/x
  3. Step 3: Cross multiply
    20,379.86x = 30,563.84 × 7,897.10
  4. Step 4: Simplify right side
    20,379.86x = 241,365,508.56
  5. Step 5: Solve for x
    x = 241,365,508.56/20,379.86
  6. Step 6: Final answer
    x = 11,843.34

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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.