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Finding the Fourth Proportional to 17,662.89, 26,494.02 and 7,132.65

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Solution

The fourth proportional to 17,662.89, 26,494.02 and 7,132.65 is: 10,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.89 : 26,494.02 = 7,132.65 : x
  2. Step 2: Convert to fraction form
    17,662.89/26,494.02 = 7,132.65/x
  3. Step 3: Cross multiply
    17,662.89x = 26,494.02 × 7,132.65
  4. Step 4: Simplify right side
    17,662.89x = 188,972,571.75
  5. Step 5: Solve for x
    x = 188,972,571.75/17,662.89
  6. Step 6: Final answer
    x = 10,698.85

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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.