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Finding the Fourth Proportional to 22,469.76, 33,688 and 10,771.84

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Solution

The fourth proportional to 22,469.76, 33,688 and 10,771.84 is: 16,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.76 : 33,688 = 10,771.84 : x
  2. Step 2: Convert to fraction form
    22,469.76/33,688 = 10,771.84/x
  3. Step 3: Cross multiply
    22,469.76x = 33,688 × 10,771.84
  4. Step 4: Simplify right side
    22,469.76x = 362,881,745.92
  5. Step 5: Solve for x
    x = 362,881,745.92/22,469.76
  6. Step 6: Final answer
    x = 16,149.78

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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.