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Finding the Fourth Proportional to 20,199.84, 30,299.97 and 7,052.25

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Solution

The fourth proportional to 20,199.84, 30,299.97 and 7,052.25 is: 10,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.84 : 30,299.97 = 7,052.25 : x
  2. Step 2: Convert to fraction form
    20,199.84/30,299.97 = 7,052.25/x
  3. Step 3: Cross multiply
    20,199.84x = 30,299.97 × 7,052.25
  4. Step 4: Simplify right side
    20,199.84x = 213,682,963.43
  5. Step 5: Solve for x
    x = 213,682,963.43/20,199.84
  6. Step 6: Final answer
    x = 10,578.45

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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.