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Finding the Fourth Proportional to 13,682.93, 20,514.13 and 5,794.69

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Solution

The fourth proportional to 13,682.93, 20,514.13 and 5,794.69 is: 8,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.93 : 20,514.13 = 5,794.69 : x
  2. Step 2: Convert to fraction form
    13,682.93/20,514.13 = 5,794.69/x
  3. Step 3: Cross multiply
    13,682.93x = 20,514.13 × 5,794.69
  4. Step 4: Simplify right side
    13,682.93x = 118,873,023.97
  5. Step 5: Solve for x
    x = 118,873,023.97/13,682.93
  6. Step 6: Final answer
    x = 8,687.69

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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.