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Finding the Fourth Proportional to 27,408.25, 37,823.39 and 14,833

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Solution

The fourth proportional to 27,408.25, 37,823.39 and 14,833 is: 20,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.25 : 37,823.39 = 14,833 : x
  2. Step 2: Convert to fraction form
    27,408.25/37,823.39 = 14,833/x
  3. Step 3: Cross multiply
    27,408.25x = 37,823.39 × 14,833
  4. Step 4: Simplify right side
    27,408.25x = 561,034,343.87
  5. Step 5: Solve for x
    x = 561,034,343.87/27,408.25
  6. Step 6: Final answer
    x = 20,469.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.