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Finding the Fourth Proportional to 27,889.16, 41,847.42 and 12,288.20

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Solution

The fourth proportional to 27,889.16, 41,847.42 and 12,288.20 is: 18,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,889.16 : 41,847.42 = 12,288.20 : x
  2. Step 2: Convert to fraction form
    27,889.16/41,847.42 = 12,288.20/x
  3. Step 3: Cross multiply
    27,889.16x = 41,847.42 × 12,288.20
  4. Step 4: Simplify right side
    27,889.16x = 514,229,466.44
  5. Step 5: Solve for x
    x = 514,229,466.44/27,889.16
  6. Step 6: Final answer
    x = 18,438.33

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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.