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Finding the Fourth Proportional to 13,100.15, 19,644.21 and 4,213.85

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Solution

The fourth proportional to 13,100.15, 19,644.21 and 4,213.85 is: 6,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.15 : 19,644.21 = 4,213.85 : x
  2. Step 2: Convert to fraction form
    13,100.15/19,644.21 = 4,213.85/x
  3. Step 3: Cross multiply
    13,100.15x = 19,644.21 × 4,213.85
  4. Step 4: Simplify right side
    13,100.15x = 82,777,656.09
  5. Step 5: Solve for x
    x = 82,777,656.09/13,100.15
  6. Step 6: Final answer
    x = 6,318.83

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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.