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Finding the Fourth Proportional to 26,506.64, 39,761.64 and 8,738.48

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Solution

The fourth proportional to 26,506.64, 39,761.64 and 8,738.48 is: 13,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.64 : 39,761.64 = 8,738.48 : x
  2. Step 2: Convert to fraction form
    26,506.64/39,761.64 = 8,738.48/x
  3. Step 3: Cross multiply
    26,506.64x = 39,761.64 × 8,738.48
  4. Step 4: Simplify right side
    26,506.64x = 347,456,295.91
  5. Step 5: Solve for x
    x = 347,456,295.91/26,506.64
  6. Step 6: Final answer
    x = 13,108.27

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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.