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Finding the Fourth Proportional to 13,591.72, 18,755.22 and 8,287.84

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Solution

The fourth proportional to 13,591.72, 18,755.22 and 8,287.84 is: 11,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.72 : 18,755.22 = 8,287.84 : x
  2. Step 2: Convert to fraction form
    13,591.72/18,755.22 = 8,287.84/x
  3. Step 3: Cross multiply
    13,591.72x = 18,755.22 × 8,287.84
  4. Step 4: Simplify right side
    13,591.72x = 155,440,262.52
  5. Step 5: Solve for x
    x = 155,440,262.52/13,591.72
  6. Step 6: Final answer
    x = 11,436.39

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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.