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Finding the Fourth Proportional to 13,838.72, 20,745.72 and 5,067.68

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Solution

The fourth proportional to 13,838.72, 20,745.72 and 5,067.68 is: 7,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.72 : 20,745.72 = 5,067.68 : x
  2. Step 2: Convert to fraction form
    13,838.72/20,745.72 = 5,067.68/x
  3. Step 3: Cross multiply
    13,838.72x = 20,745.72 × 5,067.68
  4. Step 4: Simplify right side
    13,838.72x = 105,132,670.33
  5. Step 5: Solve for x
    x = 105,132,670.33/13,838.72
  6. Step 6: Final answer
    x = 7,596.99

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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.