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Finding the Fourth Proportional to 13,497.77, 20,249.56 and 4,138.44

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Solution

The fourth proportional to 13,497.77, 20,249.56 and 4,138.44 is: 6,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.77 : 20,249.56 = 4,138.44 : x
  2. Step 2: Convert to fraction form
    13,497.77/20,249.56 = 4,138.44/x
  3. Step 3: Cross multiply
    13,497.77x = 20,249.56 × 4,138.44
  4. Step 4: Simplify right side
    13,497.77x = 83,801,589.09
  5. Step 5: Solve for x
    x = 83,801,589.09/13,497.77
  6. Step 6: Final answer
    x = 6,208.55

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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.