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Finding the Fourth Proportional to 13,511.16, 18,644.82 and 7,542.87

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Solution

The fourth proportional to 13,511.16, 18,644.82 and 7,542.87 is: 10,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.16 : 18,644.82 = 7,542.87 : x
  2. Step 2: Convert to fraction form
    13,511.16/18,644.82 = 7,542.87/x
  3. Step 3: Cross multiply
    13,511.16x = 18,644.82 × 7,542.87
  4. Step 4: Simplify right side
    13,511.16x = 140,635,453.43
  5. Step 5: Solve for x
    x = 140,635,453.43/13,511.16
  6. Step 6: Final answer
    x = 10,408.84

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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.