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Finding the Fourth Proportional to 13,912.74, 19,200.07 and 7,944.31

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Solution

The fourth proportional to 13,912.74, 19,200.07 and 7,944.31 is: 10,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.74 : 19,200.07 = 7,944.31 : x
  2. Step 2: Convert to fraction form
    13,912.74/19,200.07 = 7,944.31/x
  3. Step 3: Cross multiply
    13,912.74x = 19,200.07 × 7,944.31
  4. Step 4: Simplify right side
    13,912.74x = 152,531,342.03
  5. Step 5: Solve for x
    x = 152,531,342.03/13,912.74
  6. Step 6: Final answer
    x = 10,963.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.