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Finding the Fourth Proportional to 20,777.24, 31,165.86 and 5,194.86

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Solution

The fourth proportional to 20,777.24, 31,165.86 and 5,194.86 is: 7,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.24 : 31,165.86 = 5,194.86 : x
  2. Step 2: Convert to fraction form
    20,777.24/31,165.86 = 5,194.86/x
  3. Step 3: Cross multiply
    20,777.24x = 31,165.86 × 5,194.86
  4. Step 4: Simplify right side
    20,777.24x = 161,902,279.48
  5. Step 5: Solve for x
    x = 161,902,279.48/20,777.24
  6. Step 6: Final answer
    x = 7,792.29

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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.