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Finding the Fourth Proportional to 12,408.46, 18,610.74 and 10,313.54

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Solution

The fourth proportional to 12,408.46, 18,610.74 and 10,313.54 is: 15,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.46 : 18,610.74 = 10,313.54 : x
  2. Step 2: Convert to fraction form
    12,408.46/18,610.74 = 10,313.54/x
  3. Step 3: Cross multiply
    12,408.46x = 18,610.74 × 10,313.54
  4. Step 4: Simplify right side
    12,408.46x = 191,942,611.42
  5. Step 5: Solve for x
    x = 191,942,611.42/12,408.46
  6. Step 6: Final answer
    x = 15,468.69

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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.