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Finding the Fourth Proportional to 12,434.49, 18,649.67 and 3,667.32

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Solution

The fourth proportional to 12,434.49, 18,649.67 and 3,667.32 is: 5,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.49 : 18,649.67 = 3,667.32 : x
  2. Step 2: Convert to fraction form
    12,434.49/18,649.67 = 3,667.32/x
  3. Step 3: Cross multiply
    12,434.49x = 18,649.67 × 3,667.32
  4. Step 4: Simplify right side
    12,434.49x = 68,394,289.45
  5. Step 5: Solve for x
    x = 68,394,289.45/12,434.49
  6. Step 6: Final answer
    x = 5,500.37

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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.