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Finding the Fourth Proportional to 13,196.89, 19,791.69 and 5,299.39

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Solution

The fourth proportional to 13,196.89, 19,791.69 and 5,299.39 is: 7,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.89 : 19,791.69 = 5,299.39 : x
  2. Step 2: Convert to fraction form
    13,196.89/19,791.69 = 5,299.39/x
  3. Step 3: Cross multiply
    13,196.89x = 19,791.69 × 5,299.39
  4. Step 4: Simplify right side
    13,196.89x = 104,883,884.07
  5. Step 5: Solve for x
    x = 104,883,884.07/13,196.89
  6. Step 6: Final answer
    x = 7,947.62

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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.