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Finding the Fourth Proportional to 13,511.34, 18,645.17 and 7,542.86

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Solution

The fourth proportional to 13,511.34, 18,645.17 and 7,542.86 is: 10,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.34 : 18,645.17 = 7,542.86 : x
  2. Step 2: Convert to fraction form
    13,511.34/18,645.17 = 7,542.86/x
  3. Step 3: Cross multiply
    13,511.34x = 18,645.17 × 7,542.86
  4. Step 4: Simplify right side
    13,511.34x = 140,637,776.05
  5. Step 5: Solve for x
    x = 140,637,776.05/13,511.34
  6. Step 6: Final answer
    x = 10,408.87

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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.