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Finding the Fourth Proportional to 15,105.96, 20,846.46 and 8,392.21

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Solution

The fourth proportional to 15,105.96, 20,846.46 and 8,392.21 is: 11,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.96 : 20,846.46 = 8,392.21 : x
  2. Step 2: Convert to fraction form
    15,105.96/20,846.46 = 8,392.21/x
  3. Step 3: Cross multiply
    15,105.96x = 20,846.46 × 8,392.21
  4. Step 4: Simplify right side
    15,105.96x = 174,947,849.43
  5. Step 5: Solve for x
    x = 174,947,849.43/15,105.96
  6. Step 6: Final answer
    x = 11,581.38

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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.