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Finding the Fourth Proportional to 13,723, 20,584.50 and 3,334.78

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Solution

The fourth proportional to 13,723, 20,584.50 and 3,334.78 is: 5,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723 : 20,584.50 = 3,334.78 : x
  2. Step 2: Convert to fraction form
    13,723/20,584.50 = 3,334.78/x
  3. Step 3: Cross multiply
    13,723x = 20,584.50 × 3,334.78
  4. Step 4: Simplify right side
    13,723x = 68,644,778.91
  5. Step 5: Solve for x
    x = 68,644,778.91/13,723
  6. Step 6: Final answer
    x = 5,002.17

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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.