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Finding the Fourth Proportional to 27,744, 41,616 and 8,288

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Solution

The fourth proportional to 27,744, 41,616 and 8,288 is: 12,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 41,616 = 8,288 : x
  2. Step 2: Convert to fraction form
    27,744/41,616 = 8,288/x
  3. Step 3: Cross multiply
    27,744x = 41,616 × 8,288
  4. Step 4: Simplify right side
    27,744x = 344,913,408
  5. Step 5: Solve for x
    x = 344,913,408/27,744
  6. Step 6: Final answer
    x = 12,432

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Why These Related Problems?

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