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Finding the Fourth Proportional to 13,189.65, 18,201.71 and 7,221.31

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Solution

The fourth proportional to 13,189.65, 18,201.71 and 7,221.31 is: 9,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.65 : 18,201.71 = 7,221.31 : x
  2. Step 2: Convert to fraction form
    13,189.65/18,201.71 = 7,221.31/x
  3. Step 3: Cross multiply
    13,189.65x = 18,201.71 × 7,221.31
  4. Step 4: Simplify right side
    13,189.65x = 131,440,290.97
  5. Step 5: Solve for x
    x = 131,440,290.97/13,189.65
  6. Step 6: Final answer
    x = 9,965.41

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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.