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Finding the Fourth Proportional to 12,667.16, 18,998.52 and 3,431

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Solution

The fourth proportional to 12,667.16, 18,998.52 and 3,431 is: 5,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.16 : 18,998.52 = 3,431 : x
  2. Step 2: Convert to fraction form
    12,667.16/18,998.52 = 3,431/x
  3. Step 3: Cross multiply
    12,667.16x = 18,998.52 × 3,431
  4. Step 4: Simplify right side
    12,667.16x = 65,183,922.12
  5. Step 5: Solve for x
    x = 65,183,922.12/12,667.16
  6. Step 6: Final answer
    x = 5,145.90

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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.