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Finding the Fourth Proportional to 13,198.23, 19,769.80 and 7,916.49

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Solution

The fourth proportional to 13,198.23, 19,769.80 and 7,916.49 is: 11,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.23 : 19,769.80 = 7,916.49 : x
  2. Step 2: Convert to fraction form
    13,198.23/19,769.80 = 7,916.49/x
  3. Step 3: Cross multiply
    13,198.23x = 19,769.80 × 7,916.49
  4. Step 4: Simplify right side
    13,198.23x = 156,507,424.00
  5. Step 5: Solve for x
    x = 156,507,424.00/13,198.23
  6. Step 6: Final answer
    x = 11,858.21

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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.