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Finding the Fourth Proportional to 12,450.83, 18,679.57 and 5,431.41

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Solution

The fourth proportional to 12,450.83, 18,679.57 and 5,431.41 is: 8,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,450.83 : 18,679.57 = 5,431.41 : x
  2. Step 2: Convert to fraction form
    12,450.83/18,679.57 = 5,431.41/x
  3. Step 3: Cross multiply
    12,450.83x = 18,679.57 × 5,431.41
  4. Step 4: Simplify right side
    12,450.83x = 101,456,389.72
  5. Step 5: Solve for x
    x = 101,456,389.72/12,450.83
  6. Step 6: Final answer
    x = 8,148.57

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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.