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Finding the Fourth Proportional to 11,668.43, 17,474.70 and 10,267.54

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Solution

The fourth proportional to 11,668.43, 17,474.70 and 10,267.54 is: 15,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.43 : 17,474.70 = 10,267.54 : x
  2. Step 2: Convert to fraction form
    11,668.43/17,474.70 = 10,267.54/x
  3. Step 3: Cross multiply
    11,668.43x = 17,474.70 × 10,267.54
  4. Step 4: Simplify right side
    11,668.43x = 179,422,176.05
  5. Step 5: Solve for x
    x = 179,422,176.05/11,668.43
  6. Step 6: Final answer
    x = 15,376.72

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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.