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Finding the Fourth Proportional to 13,754.46, 20,635.81 and 9,759.54

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Solution

The fourth proportional to 13,754.46, 20,635.81 and 9,759.54 is: 14,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.46 : 20,635.81 = 9,759.54 : x
  2. Step 2: Convert to fraction form
    13,754.46/20,635.81 = 9,759.54/x
  3. Step 3: Cross multiply
    13,754.46x = 20,635.81 × 9,759.54
  4. Step 4: Simplify right side
    13,754.46x = 201,396,004.93
  5. Step 5: Solve for x
    x = 201,396,004.93/13,754.46
  6. Step 6: Final answer
    x = 14,642.23

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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.