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Finding the Fourth Proportional to 12,408.11, 18,575.24 and 7,462.75

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Solution

The fourth proportional to 12,408.11, 18,575.24 and 7,462.75 is: 11,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.11 : 18,575.24 = 7,462.75 : x
  2. Step 2: Convert to fraction form
    12,408.11/18,575.24 = 7,462.75/x
  3. Step 3: Cross multiply
    12,408.11x = 18,575.24 × 7,462.75
  4. Step 4: Simplify right side
    12,408.11x = 138,622,372.31
  5. Step 5: Solve for x
    x = 138,622,372.31/12,408.11
  6. Step 6: Final answer
    x = 11,171.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.