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Finding the Fourth Proportional to 20,108.78, 30,165.72 and 7,633.16

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Solution

The fourth proportional to 20,108.78, 30,165.72 and 7,633.16 is: 11,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,108.78 : 30,165.72 = 7,633.16 : x
  2. Step 2: Convert to fraction form
    20,108.78/30,165.72 = 7,633.16/x
  3. Step 3: Cross multiply
    20,108.78x = 30,165.72 × 7,633.16
  4. Step 4: Simplify right side
    20,108.78x = 230,259,767.28
  5. Step 5: Solve for x
    x = 230,259,767.28/20,108.78
  6. Step 6: Final answer
    x = 11,450.71

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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.