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Finding the Fourth Proportional to 13,201.85, 19,805.70 and 3,842.60

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Solution

The fourth proportional to 13,201.85, 19,805.70 and 3,842.60 is: 5,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.85 : 19,805.70 = 3,842.60 : x
  2. Step 2: Convert to fraction form
    13,201.85/19,805.70 = 3,842.60/x
  3. Step 3: Cross multiply
    13,201.85x = 19,805.70 × 3,842.60
  4. Step 4: Simplify right side
    13,201.85x = 76,105,382.82
  5. Step 5: Solve for x
    x = 76,105,382.82/13,201.85
  6. Step 6: Final answer
    x = 5,764.75

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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.