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Finding the Fourth Proportional to 13,803.10, 20,704.83 and 3,942.70

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Solution

The fourth proportional to 13,803.10, 20,704.83 and 3,942.70 is: 5,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.10 : 20,704.83 = 3,942.70 : x
  2. Step 2: Convert to fraction form
    13,803.10/20,704.83 = 3,942.70/x
  3. Step 3: Cross multiply
    13,803.10x = 20,704.83 × 3,942.70
  4. Step 4: Simplify right side
    13,803.10x = 81,632,933.24
  5. Step 5: Solve for x
    x = 81,632,933.24/13,803.10
  6. Step 6: Final answer
    x = 5,914.10

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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.