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Finding the Fourth Proportional to 13,194.49, 18,207.56 and 7,226.23

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Solution

The fourth proportional to 13,194.49, 18,207.56 and 7,226.23 is: 9,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.49 : 18,207.56 = 7,226.23 : x
  2. Step 2: Convert to fraction form
    13,194.49/18,207.56 = 7,226.23/x
  3. Step 3: Cross multiply
    13,194.49x = 18,207.56 × 7,226.23
  4. Step 4: Simplify right side
    13,194.49x = 131,571,889.13
  5. Step 5: Solve for x
    x = 131,571,889.13/13,194.49
  6. Step 6: Final answer
    x = 9,971.73

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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.