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Finding the Fourth Proportional to 15,738.85, 21,720 and 8,665.69

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Solution

The fourth proportional to 15,738.85, 21,720 and 8,665.69 is: 11,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.85 : 21,720 = 8,665.69 : x
  2. Step 2: Convert to fraction form
    15,738.85/21,720 = 8,665.69/x
  3. Step 3: Cross multiply
    15,738.85x = 21,720 × 8,665.69
  4. Step 4: Simplify right side
    15,738.85x = 188,218,786.80
  5. Step 5: Solve for x
    x = 188,218,786.80/15,738.85
  6. Step 6: Final answer
    x = 11,958.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.