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Finding the Fourth Proportional to 13,401.22, 20,112.76 and 6,829.28

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Solution

The fourth proportional to 13,401.22, 20,112.76 and 6,829.28 is: 10,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.22 : 20,112.76 = 6,829.28 : x
  2. Step 2: Convert to fraction form
    13,401.22/20,112.76 = 6,829.28/x
  3. Step 3: Cross multiply
    13,401.22x = 20,112.76 × 6,829.28
  4. Step 4: Simplify right side
    13,401.22x = 137,355,669.61
  5. Step 5: Solve for x
    x = 137,355,669.61/13,401.22
  6. Step 6: Final answer
    x = 10,249.49

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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.