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Finding the Fourth Proportional to 17,375.76, 26,068.50 and 6,839.28

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Solution

The fourth proportional to 17,375.76, 26,068.50 and 6,839.28 is: 10,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,375.76 : 26,068.50 = 6,839.28 : x
  2. Step 2: Convert to fraction form
    17,375.76/26,068.50 = 6,839.28/x
  3. Step 3: Cross multiply
    17,375.76x = 26,068.50 × 6,839.28
  4. Step 4: Simplify right side
    17,375.76x = 178,289,770.68
  5. Step 5: Solve for x
    x = 178,289,770.68/17,375.76
  6. Step 6: Final answer
    x = 10,260.83

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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.