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Finding the Fourth Proportional to 12,046.97, 18,072.48 and 4,149.17

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Solution

The fourth proportional to 12,046.97, 18,072.48 and 4,149.17 is: 6,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.97 : 18,072.48 = 4,149.17 : x
  2. Step 2: Convert to fraction form
    12,046.97/18,072.48 = 4,149.17/x
  3. Step 3: Cross multiply
    12,046.97x = 18,072.48 × 4,149.17
  4. Step 4: Simplify right side
    12,046.97x = 74,985,791.84
  5. Step 5: Solve for x
    x = 74,985,791.84/12,046.97
  6. Step 6: Final answer
    x = 6,224.45

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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.