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Finding the Fourth Proportional to 13,431.49, 20,147.23 and 4,197.49

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Solution

The fourth proportional to 13,431.49, 20,147.23 and 4,197.49 is: 6,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.49 : 20,147.23 = 4,197.49 : x
  2. Step 2: Convert to fraction form
    13,431.49/20,147.23 = 4,197.49/x
  3. Step 3: Cross multiply
    13,431.49x = 20,147.23 × 4,197.49
  4. Step 4: Simplify right side
    13,431.49x = 84,567,695.72
  5. Step 5: Solve for x
    x = 84,567,695.72/13,431.49
  6. Step 6: Final answer
    x = 6,296.23

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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.