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Finding the Fourth Proportional to 22,346.84, 33,524.56 and 8,494.76

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Solution

The fourth proportional to 22,346.84, 33,524.56 and 8,494.76 is: 12,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346.84 : 33,524.56 = 8,494.76 : x
  2. Step 2: Convert to fraction form
    22,346.84/33,524.56 = 8,494.76/x
  3. Step 3: Cross multiply
    22,346.84x = 33,524.56 × 8,494.76
  4. Step 4: Simplify right side
    22,346.84x = 284,783,091.31
  5. Step 5: Solve for x
    x = 284,783,091.31/22,346.84
  6. Step 6: Final answer
    x = 12,743.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.