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Finding the Fourth Proportional to 12,722.67, 17,571 and 9,923.31

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Solution

The fourth proportional to 12,722.67, 17,571 and 9,923.31 is: 13,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.67 : 17,571 = 9,923.31 : x
  2. Step 2: Convert to fraction form
    12,722.67/17,571 = 9,923.31/x
  3. Step 3: Cross multiply
    12,722.67x = 17,571 × 9,923.31
  4. Step 4: Simplify right side
    12,722.67x = 174,362,480.01
  5. Step 5: Solve for x
    x = 174,362,480.01/12,722.67
  6. Step 6: Final answer
    x = 13,704.87

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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.