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Finding the Fourth Proportional to 13,589.56, 18,753.78 and 8,211.24

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Solution

The fourth proportional to 13,589.56, 18,753.78 and 8,211.24 is: 11,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.56 : 18,753.78 = 8,211.24 : x
  2. Step 2: Convert to fraction form
    13,589.56/18,753.78 = 8,211.24/x
  3. Step 3: Cross multiply
    13,589.56x = 18,753.78 × 8,211.24
  4. Step 4: Simplify right side
    13,589.56x = 153,991,819.28
  5. Step 5: Solve for x
    x = 153,991,819.28/13,589.56
  6. Step 6: Final answer
    x = 11,331.63

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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.