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Finding the Fourth Proportional to 22,310.50, 33,439.83 and 9,146.92

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Solution

The fourth proportional to 22,310.50, 33,439.83 and 9,146.92 is: 13,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.50 : 33,439.83 = 9,146.92 : x
  2. Step 2: Convert to fraction form
    22,310.50/33,439.83 = 9,146.92/x
  3. Step 3: Cross multiply
    22,310.50x = 33,439.83 × 9,146.92
  4. Step 4: Simplify right side
    22,310.50x = 305,871,449.82
  5. Step 5: Solve for x
    x = 305,871,449.82/22,310.50
  6. Step 6: Final answer
    x = 13,709.75

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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.