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Finding the Fourth Proportional to 13,659.12, 20,491.07 and 5,653.85

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Solution

The fourth proportional to 13,659.12, 20,491.07 and 5,653.85 is: 8,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659.12 : 20,491.07 = 5,653.85 : x
  2. Step 2: Convert to fraction form
    13,659.12/20,491.07 = 5,653.85/x
  3. Step 3: Cross multiply
    13,659.12x = 20,491.07 × 5,653.85
  4. Step 4: Simplify right side
    13,659.12x = 115,853,305.39
  5. Step 5: Solve for x
    x = 115,853,305.39/13,659.12
  6. Step 6: Final answer
    x = 8,481.75

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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.