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Finding the Fourth Proportional to 13,745.17, 20,591.22 and 8,202.94

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Solution

The fourth proportional to 13,745.17, 20,591.22 and 8,202.94 is: 12,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.17 : 20,591.22 = 8,202.94 : x
  2. Step 2: Convert to fraction form
    13,745.17/20,591.22 = 8,202.94/x
  3. Step 3: Cross multiply
    13,745.17x = 20,591.22 × 8,202.94
  4. Step 4: Simplify right side
    13,745.17x = 168,908,542.19
  5. Step 5: Solve for x
    x = 168,908,542.19/13,745.17
  6. Step 6: Final answer
    x = 12,288.57

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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.