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Finding the Fourth Proportional to 20,052.15, 30,078.56 and 7,578.04

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Solution

The fourth proportional to 20,052.15, 30,078.56 and 7,578.04 is: 11,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.15 : 30,078.56 = 7,578.04 : x
  2. Step 2: Convert to fraction form
    20,052.15/30,078.56 = 7,578.04/x
  3. Step 3: Cross multiply
    20,052.15x = 30,078.56 × 7,578.04
  4. Step 4: Simplify right side
    20,052.15x = 227,936,530.82
  5. Step 5: Solve for x
    x = 227,936,530.82/20,052.15
  6. Step 6: Final answer
    x = 11,367.19

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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.