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Finding the Fourth Proportional to 12,167.64, 18,249.36 and 3,400.47

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Solution

The fourth proportional to 12,167.64, 18,249.36 and 3,400.47 is: 5,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.64 : 18,249.36 = 3,400.47 : x
  2. Step 2: Convert to fraction form
    12,167.64/18,249.36 = 3,400.47/x
  3. Step 3: Cross multiply
    12,167.64x = 18,249.36 × 3,400.47
  4. Step 4: Simplify right side
    12,167.64x = 62,056,401.20
  5. Step 5: Solve for x
    x = 62,056,401.20/12,167.64
  6. Step 6: Final answer
    x = 5,100.12

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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.