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Finding the Fourth Proportional to 27,604.26, 41,408.01 and 7,881.30

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Solution

The fourth proportional to 27,604.26, 41,408.01 and 7,881.30 is: 11,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604.26 : 41,408.01 = 7,881.30 : x
  2. Step 2: Convert to fraction form
    27,604.26/41,408.01 = 7,881.30/x
  3. Step 3: Cross multiply
    27,604.26x = 41,408.01 × 7,881.30
  4. Step 4: Simplify right side
    27,604.26x = 326,348,949.21
  5. Step 5: Solve for x
    x = 326,348,949.21/27,604.26
  6. Step 6: Final answer
    x = 11,822.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.