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Finding the Fourth Proportional to 13,197.42, 19,797.84 and 5,404.38

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Solution

The fourth proportional to 13,197.42, 19,797.84 and 5,404.38 is: 8,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.42 : 19,797.84 = 5,404.38 : x
  2. Step 2: Convert to fraction form
    13,197.42/19,797.84 = 5,404.38/x
  3. Step 3: Cross multiply
    13,197.42x = 19,797.84 × 5,404.38
  4. Step 4: Simplify right side
    13,197.42x = 106,995,050.54
  5. Step 5: Solve for x
    x = 106,995,050.54/13,197.42
  6. Step 6: Final answer
    x = 8,107.27

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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.