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Finding the Fourth Proportional to 13,431.20, 20,146.80 and 4,197.20

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Solution

The fourth proportional to 13,431.20, 20,146.80 and 4,197.20 is: 6,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.20 : 20,146.80 = 4,197.20 : x
  2. Step 2: Convert to fraction form
    13,431.20/20,146.80 = 4,197.20/x
  3. Step 3: Cross multiply
    13,431.20x = 20,146.80 × 4,197.20
  4. Step 4: Simplify right side
    13,431.20x = 84,560,148.96
  5. Step 5: Solve for x
    x = 84,560,148.96/13,431.20
  6. Step 6: Final answer
    x = 6,295.80

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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.