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Finding the Fourth Proportional to 19,832.72, 29,709.38 and 11,930.86

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Solution

The fourth proportional to 19,832.72, 29,709.38 and 11,930.86 is: 17,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.72 : 29,709.38 = 11,930.86 : x
  2. Step 2: Convert to fraction form
    19,832.72/29,709.38 = 11,930.86/x
  3. Step 3: Cross multiply
    19,832.72x = 29,709.38 × 11,930.86
  4. Step 4: Simplify right side
    19,832.72x = 354,458,520.43
  5. Step 5: Solve for x
    x = 354,458,520.43/19,832.72
  6. Step 6: Final answer
    x = 17,872.42

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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.