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Finding the Fourth Proportional to 13,805.46, 20,704.05 and 4,919.20

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Solution

The fourth proportional to 13,805.46, 20,704.05 and 4,919.20 is: 7,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.46 : 20,704.05 = 4,919.20 : x
  2. Step 2: Convert to fraction form
    13,805.46/20,704.05 = 4,919.20/x
  3. Step 3: Cross multiply
    13,805.46x = 20,704.05 × 4,919.20
  4. Step 4: Simplify right side
    13,805.46x = 101,847,311.00
  5. Step 5: Solve for x
    x = 101,847,311.00/13,805.46
  6. Step 6: Final answer
    x = 7,377.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.