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Finding the Fourth Proportional to 13,395.14, 20,105.16 and 6,826.26

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Solution

The fourth proportional to 13,395.14, 20,105.16 and 6,826.26 is: 10,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,395.14 : 20,105.16 = 6,826.26 : x
  2. Step 2: Convert to fraction form
    13,395.14/20,105.16 = 6,826.26/x
  3. Step 3: Cross multiply
    13,395.14x = 20,105.16 × 6,826.26
  4. Step 4: Simplify right side
    13,395.14x = 137,243,049.50
  5. Step 5: Solve for x
    x = 137,243,049.50/13,395.14
  6. Step 6: Final answer
    x = 10,245.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.