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Finding the Fourth Proportional to 13,832.96, 20,745.39 and 5,510.21

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Solution

The fourth proportional to 13,832.96, 20,745.39 and 5,510.21 is: 8,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.96 : 20,745.39 = 5,510.21 : x
  2. Step 2: Convert to fraction form
    13,832.96/20,745.39 = 5,510.21/x
  3. Step 3: Cross multiply
    13,832.96x = 20,745.39 × 5,510.21
  4. Step 4: Simplify right side
    13,832.96x = 114,311,455.43
  5. Step 5: Solve for x
    x = 114,311,455.43/13,832.96
  6. Step 6: Final answer
    x = 8,263.70

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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.