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Finding the Fourth Proportional to 13,855.46, 20,781.77 and 3,467.21

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Solution

The fourth proportional to 13,855.46, 20,781.77 and 3,467.21 is: 5,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.46 : 20,781.77 = 3,467.21 : x
  2. Step 2: Convert to fraction form
    13,855.46/20,781.77 = 3,467.21/x
  3. Step 3: Cross multiply
    13,855.46x = 20,781.77 × 3,467.21
  4. Step 4: Simplify right side
    13,855.46x = 72,054,639.52
  5. Step 5: Solve for x
    x = 72,054,639.52/13,855.46
  6. Step 6: Final answer
    x = 5,200.45

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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.