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Finding the Fourth Proportional to 26,677.44, 40,020.48 and 8,208

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Solution

The fourth proportional to 26,677.44, 40,020.48 and 8,208 is: 12,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677.44 : 40,020.48 = 8,208 : x
  2. Step 2: Convert to fraction form
    26,677.44/40,020.48 = 8,208/x
  3. Step 3: Cross multiply
    26,677.44x = 40,020.48 × 8,208
  4. Step 4: Simplify right side
    26,677.44x = 328,488,099.84
  5. Step 5: Solve for x
    x = 328,488,099.84/26,677.44
  6. Step 6: Final answer
    x = 12,313.33

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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.