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Finding the Fourth Proportional to 12,006, 18,004.41 and 5,764.23

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Solution

The fourth proportional to 12,006, 18,004.41 and 5,764.23 is: 8,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006 : 18,004.41 = 5,764.23 : x
  2. Step 2: Convert to fraction form
    12,006/18,004.41 = 5,764.23/x
  3. Step 3: Cross multiply
    12,006x = 18,004.41 × 5,764.23
  4. Step 4: Simplify right side
    12,006x = 103,781,560.25
  5. Step 5: Solve for x
    x = 103,781,560.25/12,006
  6. Step 6: Final answer
    x = 8,644.14

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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.