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Finding the Fourth Proportional to 13,381.44, 20,057.04 and 10,084.20

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Solution

The fourth proportional to 13,381.44, 20,057.04 and 10,084.20 is: 15,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.44 : 20,057.04 = 10,084.20 : x
  2. Step 2: Convert to fraction form
    13,381.44/20,057.04 = 10,084.20/x
  3. Step 3: Cross multiply
    13,381.44x = 20,057.04 × 10,084.20
  4. Step 4: Simplify right side
    13,381.44x = 202,259,202.77
  5. Step 5: Solve for x
    x = 202,259,202.77/13,381.44
  6. Step 6: Final answer
    x = 15,114.91

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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.