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Finding the Fourth Proportional to 27,638.57, 41,463.77 and 8,919.68

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Solution

The fourth proportional to 27,638.57, 41,463.77 and 8,919.68 is: 13,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.57 : 41,463.77 = 8,919.68 : x
  2. Step 2: Convert to fraction form
    27,638.57/41,463.77 = 8,919.68/x
  3. Step 3: Cross multiply
    27,638.57x = 41,463.77 × 8,919.68
  4. Step 4: Simplify right side
    27,638.57x = 369,843,308.08
  5. Step 5: Solve for x
    x = 369,843,308.08/27,638.57
  6. Step 6: Final answer
    x = 13,381.42

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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.