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Finding the Fourth Proportional to 22,626.73, 33,953.32 and 9,478

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Solution

The fourth proportional to 22,626.73, 33,953.32 and 9,478 is: 14,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.73 : 33,953.32 = 9,478 : x
  2. Step 2: Convert to fraction form
    22,626.73/33,953.32 = 9,478/x
  3. Step 3: Cross multiply
    22,626.73x = 33,953.32 × 9,478
  4. Step 4: Simplify right side
    22,626.73x = 321,809,566.96
  5. Step 5: Solve for x
    x = 321,809,566.96/22,626.73
  6. Step 6: Final answer
    x = 14,222.54

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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.