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Finding the Fourth Proportional to 13,694.21, 18,896.38 and 7,725.53

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Solution

The fourth proportional to 13,694.21, 18,896.38 and 7,725.53 is: 10,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.21 : 18,896.38 = 7,725.53 : x
  2. Step 2: Convert to fraction form
    13,694.21/18,896.38 = 7,725.53/x
  3. Step 3: Cross multiply
    13,694.21x = 18,896.38 × 7,725.53
  4. Step 4: Simplify right side
    13,694.21x = 145,984,436.79
  5. Step 5: Solve for x
    x = 145,984,436.79/13,694.21
  6. Step 6: Final answer
    x = 10,660.31

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Why These Related Problems?

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