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Finding the Fourth Proportional to 13,443.10, 20,137.20 and 6,401.80

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Solution

The fourth proportional to 13,443.10, 20,137.20 and 6,401.80 is: 9,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.10 : 20,137.20 = 6,401.80 : x
  2. Step 2: Convert to fraction form
    13,443.10/20,137.20 = 6,401.80/x
  3. Step 3: Cross multiply
    13,443.10x = 20,137.20 × 6,401.80
  4. Step 4: Simplify right side
    13,443.10x = 128,914,326.96
  5. Step 5: Solve for x
    x = 128,914,326.96/13,443.10
  6. Step 6: Final answer
    x = 9,589.63

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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.