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Finding the Fourth Proportional to 25,408.32, 38,125.49 and 12,096.38

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Solution

The fourth proportional to 25,408.32, 38,125.49 and 12,096.38 is: 18,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.32 : 38,125.49 = 12,096.38 : x
  2. Step 2: Convert to fraction form
    25,408.32/38,125.49 = 12,096.38/x
  3. Step 3: Cross multiply
    25,408.32x = 38,125.49 × 12,096.38
  4. Step 4: Simplify right side
    25,408.32x = 461,180,163.62
  5. Step 5: Solve for x
    x = 461,180,163.62/25,408.32
  6. Step 6: Final answer
    x = 18,150.75

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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.