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Finding the Fourth Proportional to 12,431.96, 18,649.51 and 3,667.05

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Solution

The fourth proportional to 12,431.96, 18,649.51 and 3,667.05 is: 5,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.96 : 18,649.51 = 3,667.05 : x
  2. Step 2: Convert to fraction form
    12,431.96/18,649.51 = 3,667.05/x
  3. Step 3: Cross multiply
    12,431.96x = 18,649.51 × 3,667.05
  4. Step 4: Simplify right side
    12,431.96x = 68,388,676.48
  5. Step 5: Solve for x
    x = 68,388,676.48/12,431.96
  6. Step 6: Final answer
    x = 5,501.04

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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.