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Finding the Fourth Proportional to 13,190.75, 18,203.43 and 7,222.97

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Solution

The fourth proportional to 13,190.75, 18,203.43 and 7,222.97 is: 9,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.75 : 18,203.43 = 7,222.97 : x
  2. Step 2: Convert to fraction form
    13,190.75/18,203.43 = 7,222.97/x
  3. Step 3: Cross multiply
    13,190.75x = 18,203.43 × 7,222.97
  4. Step 4: Simplify right side
    13,190.75x = 131,482,901.38
  5. Step 5: Solve for x
    x = 131,482,901.38/13,190.75
  6. Step 6: Final answer
    x = 9,967.81

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Why These Related Problems?

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