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Finding the Fourth Proportional to 13,004.74, 17,940.65 and 8,286.09

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Solution

The fourth proportional to 13,004.74, 17,940.65 and 8,286.09 is: 11,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.74 : 17,940.65 = 8,286.09 : x
  2. Step 2: Convert to fraction form
    13,004.74/17,940.65 = 8,286.09/x
  3. Step 3: Cross multiply
    13,004.74x = 17,940.65 × 8,286.09
  4. Step 4: Simplify right side
    13,004.74x = 148,657,840.56
  5. Step 5: Solve for x
    x = 148,657,840.56/13,004.74
  6. Step 6: Final answer
    x = 11,431.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.