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Finding the Fourth Proportional to 13,759.81, 20,640.69 and 6,745.69

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Solution

The fourth proportional to 13,759.81, 20,640.69 and 6,745.69 is: 10,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.81 : 20,640.69 = 6,745.69 : x
  2. Step 2: Convert to fraction form
    13,759.81/20,640.69 = 6,745.69/x
  3. Step 3: Cross multiply
    13,759.81x = 20,640.69 × 6,745.69
  4. Step 4: Simplify right side
    13,759.81x = 139,235,696.13
  5. Step 5: Solve for x
    x = 139,235,696.13/13,759.81
  6. Step 6: Final answer
    x = 10,119.01

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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.