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Finding the Fourth Proportional to 13,201.98, 19,806.03 and 3,842.22

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Solution

The fourth proportional to 13,201.98, 19,806.03 and 3,842.22 is: 5,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.98 : 19,806.03 = 3,842.22 : x
  2. Step 2: Convert to fraction form
    13,201.98/19,806.03 = 3,842.22/x
  3. Step 3: Cross multiply
    13,201.98x = 19,806.03 × 3,842.22
  4. Step 4: Simplify right side
    13,201.98x = 76,099,124.59
  5. Step 5: Solve for x
    x = 76,099,124.59/13,201.98
  6. Step 6: Final answer
    x = 5,764.22

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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.