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Finding the Fourth Proportional to 21,975.70, 30,338.13 and 13,033.30

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Solution

The fourth proportional to 21,975.70, 30,338.13 and 13,033.30 is: 17,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.70 : 30,338.13 = 13,033.30 : x
  2. Step 2: Convert to fraction form
    21,975.70/30,338.13 = 13,033.30/x
  3. Step 3: Cross multiply
    21,975.70x = 30,338.13 × 13,033.30
  4. Step 4: Simplify right side
    21,975.70x = 395,405,949.73
  5. Step 5: Solve for x
    x = 395,405,949.73/21,975.70
  6. Step 6: Final answer
    x = 17,992.87

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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.