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Finding the Fourth Proportional to 13,098.60, 19,651.22 and 3,738.66

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Solution

The fourth proportional to 13,098.60, 19,651.22 and 3,738.66 is: 5,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.60 : 19,651.22 = 3,738.66 : x
  2. Step 2: Convert to fraction form
    13,098.60/19,651.22 = 3,738.66/x
  3. Step 3: Cross multiply
    13,098.60x = 19,651.22 × 3,738.66
  4. Step 4: Simplify right side
    13,098.60x = 73,469,211.47
  5. Step 5: Solve for x
    x = 73,469,211.47/13,098.60
  6. Step 6: Final answer
    x = 5,608.94

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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.