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Finding the Fourth Proportional to 20,237.89, 30,338.46 and 7,083.09

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Solution

The fourth proportional to 20,237.89, 30,338.46 and 7,083.09 is: 10,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.89 : 30,338.46 = 7,083.09 : x
  2. Step 2: Convert to fraction form
    20,237.89/30,338.46 = 7,083.09/x
  3. Step 3: Cross multiply
    20,237.89x = 30,338.46 × 7,083.09
  4. Step 4: Simplify right side
    20,237.89x = 214,889,966.80
  5. Step 5: Solve for x
    x = 214,889,966.80/20,237.89
  6. Step 6: Final answer
    x = 10,618.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.