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Finding the Fourth Proportional to 13,013.55, 19,523.97 and 5,227.83

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Solution

The fourth proportional to 13,013.55, 19,523.97 and 5,227.83 is: 7,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.55 : 19,523.97 = 5,227.83 : x
  2. Step 2: Convert to fraction form
    13,013.55/19,523.97 = 5,227.83/x
  3. Step 3: Cross multiply
    13,013.55x = 19,523.97 × 5,227.83
  4. Step 4: Simplify right side
    13,013.55x = 102,068,064.50
  5. Step 5: Solve for x
    x = 102,068,064.50/13,013.55
  6. Step 6: Final answer
    x = 7,843.21

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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.