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Finding the Fourth Proportional to 22,027.84, 33,074.57 and 8,905.84

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Solution

The fourth proportional to 22,027.84, 33,074.57 and 8,905.84 is: 13,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027.84 : 33,074.57 = 8,905.84 : x
  2. Step 2: Convert to fraction form
    22,027.84/33,074.57 = 8,905.84/x
  3. Step 3: Cross multiply
    22,027.84x = 33,074.57 × 8,905.84
  4. Step 4: Simplify right side
    22,027.84x = 294,556,783.96
  5. Step 5: Solve for x
    x = 294,556,783.96/22,027.84
  6. Step 6: Final answer
    x = 13,372.02

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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.