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Finding the Fourth Proportional to 18,083.94, 27,122.81 and 5,433.50

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Solution

The fourth proportional to 18,083.94, 27,122.81 and 5,433.50 is: 8,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,083.94 : 27,122.81 = 5,433.50 : x
  2. Step 2: Convert to fraction form
    18,083.94/27,122.81 = 5,433.50/x
  3. Step 3: Cross multiply
    18,083.94x = 27,122.81 × 5,433.50
  4. Step 4: Simplify right side
    18,083.94x = 147,371,625.35
  5. Step 5: Solve for x
    x = 147,371,625.35/18,083.94
  6. Step 6: Final answer
    x = 8,149.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.