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Finding the Fourth Proportional to 27,408.69, 41,114.38 and 8,940.69

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Solution

The fourth proportional to 27,408.69, 41,114.38 and 8,940.69 is: 13,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.69 : 41,114.38 = 8,940.69 : x
  2. Step 2: Convert to fraction form
    27,408.69/41,114.38 = 8,940.69/x
  3. Step 3: Cross multiply
    27,408.69x = 41,114.38 × 8,940.69
  4. Step 4: Simplify right side
    27,408.69x = 367,590,926.12
  5. Step 5: Solve for x
    x = 367,590,926.12/27,408.69
  6. Step 6: Final answer
    x = 13,411.47

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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.