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Finding the Fourth Proportional to 26,512, 39,768.96 and 8,044

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Solution

The fourth proportional to 26,512, 39,768.96 and 8,044 is: 12,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,512 : 39,768.96 = 8,044 : x
  2. Step 2: Convert to fraction form
    26,512/39,768.96 = 8,044/x
  3. Step 3: Cross multiply
    26,512x = 39,768.96 × 8,044
  4. Step 4: Simplify right side
    26,512x = 319,901,514.24
  5. Step 5: Solve for x
    x = 319,901,514.24/26,512
  6. Step 6: Final answer
    x = 12,066.29

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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.