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Finding the Fourth Proportional to 13,589.78, 18,754.09 and 10,180.76

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Solution

The fourth proportional to 13,589.78, 18,754.09 and 10,180.76 is: 14,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.78 : 18,754.09 = 10,180.76 : x
  2. Step 2: Convert to fraction form
    13,589.78/18,754.09 = 10,180.76/x
  3. Step 3: Cross multiply
    13,589.78x = 18,754.09 × 10,180.76
  4. Step 4: Simplify right side
    13,589.78x = 190,930,770.09
  5. Step 5: Solve for x
    x = 190,930,770.09/13,589.78
  6. Step 6: Final answer
    x = 14,049.59

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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.