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Finding the Fourth Proportional to 17,408, 26,112 and 7,680

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Solution

The fourth proportional to 17,408, 26,112 and 7,680 is: 11,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408 : 26,112 = 7,680 : x
  2. Step 2: Convert to fraction form
    17,408/26,112 = 7,680/x
  3. Step 3: Cross multiply
    17,408x = 26,112 × 7,680
  4. Step 4: Simplify right side
    17,408x = 200,540,160
  5. Step 5: Solve for x
    x = 200,540,160/17,408
  6. Step 6: Final answer
    x = 11,520

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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.