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Finding the Fourth Proportional to 22,261.91, 33,380.69 and 9,103.46

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Solution

The fourth proportional to 22,261.91, 33,380.69 and 9,103.46 is: 13,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.91 : 33,380.69 = 9,103.46 : x
  2. Step 2: Convert to fraction form
    22,261.91/33,380.69 = 9,103.46/x
  3. Step 3: Cross multiply
    22,261.91x = 33,380.69 × 9,103.46
  4. Step 4: Simplify right side
    22,261.91x = 303,879,563.77
  5. Step 5: Solve for x
    x = 303,879,563.77/22,261.91
  6. Step 6: Final answer
    x = 13,650.20

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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.