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Finding the Fourth Proportional to 12,224.57, 18,337.83 and 3,905.76

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Solution

The fourth proportional to 12,224.57, 18,337.83 and 3,905.76 is: 5,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.57 : 18,337.83 = 3,905.76 : x
  2. Step 2: Convert to fraction form
    12,224.57/18,337.83 = 3,905.76/x
  3. Step 3: Cross multiply
    12,224.57x = 18,337.83 × 3,905.76
  4. Step 4: Simplify right side
    12,224.57x = 71,623,217.02
  5. Step 5: Solve for x
    x = 71,623,217.02/12,224.57
  6. Step 6: Final answer
    x = 5,858.96

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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.