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Finding the Fourth Proportional to 13,498.96, 20,249.05 and 4,138.30

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Solution

The fourth proportional to 13,498.96, 20,249.05 and 4,138.30 is: 6,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.96 : 20,249.05 = 4,138.30 : x
  2. Step 2: Convert to fraction form
    13,498.96/20,249.05 = 4,138.30/x
  3. Step 3: Cross multiply
    13,498.96x = 20,249.05 × 4,138.30
  4. Step 4: Simplify right side
    13,498.96x = 83,796,542.37
  5. Step 5: Solve for x
    x = 83,796,542.37/13,498.96
  6. Step 6: Final answer
    x = 6,207.63

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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.