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Finding the Fourth Proportional to 23,003.80, 31,729.40 and 22,232.41

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Solution

The fourth proportional to 23,003.80, 31,729.40 and 22,232.41 is: 30,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003.80 : 31,729.40 = 22,232.41 : x
  2. Step 2: Convert to fraction form
    23,003.80/31,729.40 = 22,232.41/x
  3. Step 3: Cross multiply
    23,003.80x = 31,729.40 × 22,232.41
  4. Step 4: Simplify right side
    23,003.80x = 705,420,918.69
  5. Step 5: Solve for x
    x = 705,420,918.69/23,003.80
  6. Step 6: Final answer
    x = 30,665.41

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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.