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Finding the Fourth Proportional to 13,745.81, 20,604.88 and 5,431.73

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Solution

The fourth proportional to 13,745.81, 20,604.88 and 5,431.73 is: 8,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.81 : 20,604.88 = 5,431.73 : x
  2. Step 2: Convert to fraction form
    13,745.81/20,604.88 = 5,431.73/x
  3. Step 3: Cross multiply
    13,745.81x = 20,604.88 × 5,431.73
  4. Step 4: Simplify right side
    13,745.81x = 111,920,144.84
  5. Step 5: Solve for x
    x = 111,920,144.84/13,745.81
  6. Step 6: Final answer
    x = 8,142.13

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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.