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Finding the Fourth Proportional to 13,353.97, 20,032.14 and 3,493.21

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Solution

The fourth proportional to 13,353.97, 20,032.14 and 3,493.21 is: 5,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.97 : 20,032.14 = 3,493.21 : x
  2. Step 2: Convert to fraction form
    13,353.97/20,032.14 = 3,493.21/x
  3. Step 3: Cross multiply
    13,353.97x = 20,032.14 × 3,493.21
  4. Step 4: Simplify right side
    13,353.97x = 69,976,471.77
  5. Step 5: Solve for x
    x = 69,976,471.77/13,353.97
  6. Step 6: Final answer
    x = 5,240.12

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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.