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Finding the Fourth Proportional to 26,917.50, 40,376.61 and 8,449.50

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Solution

The fourth proportional to 26,917.50, 40,376.61 and 8,449.50 is: 12,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,917.50 : 40,376.61 = 8,449.50 : x
  2. Step 2: Convert to fraction form
    26,917.50/40,376.61 = 8,449.50/x
  3. Step 3: Cross multiply
    26,917.50x = 40,376.61 × 8,449.50
  4. Step 4: Simplify right side
    26,917.50x = 341,162,166.20
  5. Step 5: Solve for x
    x = 341,162,166.20/26,917.50
  6. Step 6: Final answer
    x = 12,674.36

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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.