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Finding the Fourth Proportional to 13,400.47, 20,099.16 and 3,540.52

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Solution

The fourth proportional to 13,400.47, 20,099.16 and 3,540.52 is: 5,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.47 : 20,099.16 = 3,540.52 : x
  2. Step 2: Convert to fraction form
    13,400.47/20,099.16 = 3,540.52/x
  3. Step 3: Cross multiply
    13,400.47x = 20,099.16 × 3,540.52
  4. Step 4: Simplify right side
    13,400.47x = 71,161,477.96
  5. Step 5: Solve for x
    x = 71,161,477.96/13,400.47
  6. Step 6: Final answer
    x = 5,310.37

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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.