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Finding the Fourth Proportional to 26,722.56, 40,087.68 and 8,256

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Solution

The fourth proportional to 26,722.56, 40,087.68 and 8,256 is: 12,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,722.56 : 40,087.68 = 8,256 : x
  2. Step 2: Convert to fraction form
    26,722.56/40,087.68 = 8,256/x
  3. Step 3: Cross multiply
    26,722.56x = 40,087.68 × 8,256
  4. Step 4: Simplify right side
    26,722.56x = 330,963,886.08
  5. Step 5: Solve for x
    x = 330,963,886.08/26,722.56
  6. Step 6: Final answer
    x = 12,385.19

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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.