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Finding the Fourth Proportional to 13,833.41, 20,745.68 and 4,471.43

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Solution

The fourth proportional to 13,833.41, 20,745.68 and 4,471.43 is: 6,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.41 : 20,745.68 = 4,471.43 : x
  2. Step 2: Convert to fraction form
    13,833.41/20,745.68 = 4,471.43/x
  3. Step 3: Cross multiply
    13,833.41x = 20,745.68 × 4,471.43
  4. Step 4: Simplify right side
    13,833.41x = 92,762,855.92
  5. Step 5: Solve for x
    x = 92,762,855.92/13,833.41
  6. Step 6: Final answer
    x = 6,705.71

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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.