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Finding the Fourth Proportional to 12,239.56, 18,353.87 and 5,667.63

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Solution

The fourth proportional to 12,239.56, 18,353.87 and 5,667.63 is: 8,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,239.56 : 18,353.87 = 5,667.63 : x
  2. Step 2: Convert to fraction form
    12,239.56/18,353.87 = 5,667.63/x
  3. Step 3: Cross multiply
    12,239.56x = 18,353.87 × 5,667.63
  4. Step 4: Simplify right side
    12,239.56x = 104,022,944.23
  5. Step 5: Solve for x
    x = 104,022,944.23/12,239.56
  6. Step 6: Final answer
    x = 8,498.91

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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.