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Finding the Fourth Proportional to 13,535.88, 20,286.13 and 9,800.27

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Solution

The fourth proportional to 13,535.88, 20,286.13 and 9,800.27 is: 14,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.88 : 20,286.13 = 9,800.27 : x
  2. Step 2: Convert to fraction form
    13,535.88/20,286.13 = 9,800.27/x
  3. Step 3: Cross multiply
    13,535.88x = 20,286.13 × 9,800.27
  4. Step 4: Simplify right side
    13,535.88x = 198,809,504.06
  5. Step 5: Solve for x
    x = 198,809,504.06/13,535.88
  6. Step 6: Final answer
    x = 14,687.60

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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.