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Finding the Fourth Proportional to 20,103.78, 30,158.22 and 7,628.16

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Solution

The fourth proportional to 20,103.78, 30,158.22 and 7,628.16 is: 11,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.78 : 30,158.22 = 7,628.16 : x
  2. Step 2: Convert to fraction form
    20,103.78/30,158.22 = 7,628.16/x
  3. Step 3: Cross multiply
    20,103.78x = 30,158.22 × 7,628.16
  4. Step 4: Simplify right side
    20,103.78x = 230,051,727.48
  5. Step 5: Solve for x
    x = 230,051,727.48/20,103.78
  6. Step 6: Final answer
    x = 11,443.21

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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.