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Finding the Fourth Proportional to 27,162.96, 40,745.30 and 8,443.10

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Solution

The fourth proportional to 27,162.96, 40,745.30 and 8,443.10 is: 12,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162.96 : 40,745.30 = 8,443.10 : x
  2. Step 2: Convert to fraction form
    27,162.96/40,745.30 = 8,443.10/x
  3. Step 3: Cross multiply
    27,162.96x = 40,745.30 × 8,443.10
  4. Step 4: Simplify right side
    27,162.96x = 344,016,396.49
  5. Step 5: Solve for x
    x = 344,016,396.49/27,162.96
  6. Step 6: Final answer
    x = 12,664.91

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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.