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Finding the Fourth Proportional to 15,944.31, 22,004.91 and 9,229.86

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Solution

The fourth proportional to 15,944.31, 22,004.91 and 9,229.86 is: 12,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,944.31 : 22,004.91 = 9,229.86 : x
  2. Step 2: Convert to fraction form
    15,944.31/22,004.91 = 9,229.86/x
  3. Step 3: Cross multiply
    15,944.31x = 22,004.91 × 9,229.86
  4. Step 4: Simplify right side
    15,944.31x = 203,102,238.61
  5. Step 5: Solve for x
    x = 203,102,238.61/15,944.31
  6. Step 6: Final answer
    x = 12,738.23

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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.