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Finding the Fourth Proportional to 26,912.50, 40,369.11 and 8,444.50

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Solution

The fourth proportional to 26,912.50, 40,369.11 and 8,444.50 is: 12,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,912.50 : 40,369.11 = 8,444.50 : x
  2. Step 2: Convert to fraction form
    26,912.50/40,369.11 = 8,444.50/x
  3. Step 3: Cross multiply
    26,912.50x = 40,369.11 × 8,444.50
  4. Step 4: Simplify right side
    26,912.50x = 340,896,949.40
  5. Step 5: Solve for x
    x = 340,896,949.40/26,912.50
  6. Step 6: Final answer
    x = 12,666.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.