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Finding the Fourth Proportional to 17,450.50, 26,180.07 and 5,138.50

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Solution

The fourth proportional to 17,450.50, 26,180.07 and 5,138.50 is: 7,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,450.50 : 26,180.07 = 5,138.50 : x
  2. Step 2: Convert to fraction form
    17,450.50/26,180.07 = 5,138.50/x
  3. Step 3: Cross multiply
    17,450.50x = 26,180.07 × 5,138.50
  4. Step 4: Simplify right side
    17,450.50x = 134,526,289.70
  5. Step 5: Solve for x
    x = 134,526,289.70/17,450.50
  6. Step 6: Final answer
    x = 7,709.02

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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.