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Finding the Fourth Proportional to 13,456, 18,571.84 and 7,568

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Solution

The fourth proportional to 13,456, 18,571.84 and 7,568 is: 10,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456 : 18,571.84 = 7,568 : x
  2. Step 2: Convert to fraction form
    13,456/18,571.84 = 7,568/x
  3. Step 3: Cross multiply
    13,456x = 18,571.84 × 7,568
  4. Step 4: Simplify right side
    13,456x = 140,551,685.12
  5. Step 5: Solve for x
    x = 140,551,685.12/13,456
  6. Step 6: Final answer
    x = 10,445.28

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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.