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Finding the Fourth Proportional to 28,194.46, 38,906.07 and 16,249.78

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Solution

The fourth proportional to 28,194.46, 38,906.07 and 16,249.78 is: 22,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,194.46 : 38,906.07 = 16,249.78 : x
  2. Step 2: Convert to fraction form
    28,194.46/38,906.07 = 16,249.78/x
  3. Step 3: Cross multiply
    28,194.46x = 38,906.07 × 16,249.78
  4. Step 4: Simplify right side
    28,194.46x = 632,215,078.16
  5. Step 5: Solve for x
    x = 632,215,078.16/28,194.46
  6. Step 6: Final answer
    x = 22,423.38

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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.