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Finding the Fourth Proportional to 12,004.74, 17,991.18 and 6,381.23

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Solution

The fourth proportional to 12,004.74, 17,991.18 and 6,381.23 is: 9,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.74 : 17,991.18 = 6,381.23 : x
  2. Step 2: Convert to fraction form
    12,004.74/17,991.18 = 6,381.23/x
  3. Step 3: Cross multiply
    12,004.74x = 17,991.18 × 6,381.23
  4. Step 4: Simplify right side
    12,004.74x = 114,805,767.60
  5. Step 5: Solve for x
    x = 114,805,767.60/12,004.74
  6. Step 6: Final answer
    x = 9,563.37

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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.