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Finding the Fourth Proportional to 13,546.42, 18,691.63 and 7,578.14

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Solution

The fourth proportional to 13,546.42, 18,691.63 and 7,578.14 is: 10,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.42 : 18,691.63 = 7,578.14 : x
  2. Step 2: Convert to fraction form
    13,546.42/18,691.63 = 7,578.14/x
  3. Step 3: Cross multiply
    13,546.42x = 18,691.63 × 7,578.14
  4. Step 4: Simplify right side
    13,546.42x = 141,647,676.56
  5. Step 5: Solve for x
    x = 141,647,676.56/13,546.42
  6. Step 6: Final answer
    x = 10,456.47

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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.