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Finding the Fourth Proportional to 26,889.50, 40,336.38 and 8,171.17

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Solution

The fourth proportional to 26,889.50, 40,336.38 and 8,171.17 is: 12,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,889.50 : 40,336.38 = 8,171.17 : x
  2. Step 2: Convert to fraction form
    26,889.50/40,336.38 = 8,171.17/x
  3. Step 3: Cross multiply
    26,889.50x = 40,336.38 × 8,171.17
  4. Step 4: Simplify right side
    26,889.50x = 329,595,317.32
  5. Step 5: Solve for x
    x = 329,595,317.32/26,889.50
  6. Step 6: Final answer
    x = 12,257.40

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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.