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Finding the Fourth Proportional to 33,824.61, 46,676.31 and 18,717

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Solution

The fourth proportional to 33,824.61, 46,676.31 and 18,717 is: 25,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.61 : 46,676.31 = 18,717 : x
  2. Step 2: Convert to fraction form
    33,824.61/46,676.31 = 18,717/x
  3. Step 3: Cross multiply
    33,824.61x = 46,676.31 × 18,717
  4. Step 4: Simplify right side
    33,824.61x = 873,640,494.27
  5. Step 5: Solve for x
    x = 873,640,494.27/33,824.61
  6. Step 6: Final answer
    x = 25,828.55

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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.