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Finding the Fourth Proportional to 13,091.44, 19,642.92 and 6,934

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Solution

The fourth proportional to 13,091.44, 19,642.92 and 6,934 is: 10,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.44 : 19,642.92 = 6,934 : x
  2. Step 2: Convert to fraction form
    13,091.44/19,642.92 = 6,934/x
  3. Step 3: Cross multiply
    13,091.44x = 19,642.92 × 6,934
  4. Step 4: Simplify right side
    13,091.44x = 136,204,007.28
  5. Step 5: Solve for x
    x = 136,204,007.28/13,091.44
  6. Step 6: Final answer
    x = 10,404.05

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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.