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Finding the Fourth Proportional to 17,121.75, 25,680.57 and 4,641

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Solution

The fourth proportional to 17,121.75, 25,680.57 and 4,641 is: 6,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,121.75 : 25,680.57 = 4,641 : x
  2. Step 2: Convert to fraction form
    17,121.75/25,680.57 = 4,641/x
  3. Step 3: Cross multiply
    17,121.75x = 25,680.57 × 4,641
  4. Step 4: Simplify right side
    17,121.75x = 119,183,525.37
  5. Step 5: Solve for x
    x = 119,183,525.37/17,121.75
  6. Step 6: Final answer
    x = 6,960.94

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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.