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Finding the Fourth Proportional to 20,652.35, 30,978.38 and 5,861.27

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Solution

The fourth proportional to 20,652.35, 30,978.38 and 5,861.27 is: 8,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.35 : 30,978.38 = 5,861.27 : x
  2. Step 2: Convert to fraction form
    20,652.35/30,978.38 = 5,861.27/x
  3. Step 3: Cross multiply
    20,652.35x = 30,978.38 × 5,861.27
  4. Step 4: Simplify right side
    20,652.35x = 181,572,741.44
  5. Step 5: Solve for x
    x = 181,572,741.44/20,652.35
  6. Step 6: Final answer
    x = 8,791.87

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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.