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Finding the Fourth Proportional to 22,409.92, 33,626.22 and 9,271.72

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Solution

The fourth proportional to 22,409.92, 33,626.22 and 9,271.72 is: 13,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.92 : 33,626.22 = 9,271.72 : x
  2. Step 2: Convert to fraction form
    22,409.92/33,626.22 = 9,271.72/x
  3. Step 3: Cross multiply
    22,409.92x = 33,626.22 × 9,271.72
  4. Step 4: Simplify right side
    22,409.92x = 311,772,896.50
  5. Step 5: Solve for x
    x = 311,772,896.50/22,409.92
  6. Step 6: Final answer
    x = 13,912.27

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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.