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Finding the Fourth Proportional to 13,982.44, 20,983.38 and 9,604.12

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Solution

The fourth proportional to 13,982.44, 20,983.38 and 9,604.12 is: 14,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.44 : 20,983.38 = 9,604.12 : x
  2. Step 2: Convert to fraction form
    13,982.44/20,983.38 = 9,604.12/x
  3. Step 3: Cross multiply
    13,982.44x = 20,983.38 × 9,604.12
  4. Step 4: Simplify right side
    13,982.44x = 201,526,899.53
  5. Step 5: Solve for x
    x = 201,526,899.53/13,982.44
  6. Step 6: Final answer
    x = 14,412.86

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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.