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Finding the Fourth Proportional to 20,103.69, 30,154.65 and 6,775.80

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Solution

The fourth proportional to 20,103.69, 30,154.65 and 6,775.80 is: 10,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.69 : 30,154.65 = 6,775.80 : x
  2. Step 2: Convert to fraction form
    20,103.69/30,154.65 = 6,775.80/x
  3. Step 3: Cross multiply
    20,103.69x = 30,154.65 × 6,775.80
  4. Step 4: Simplify right side
    20,103.69x = 204,321,877.47
  5. Step 5: Solve for x
    x = 204,321,877.47/20,103.69
  6. Step 6: Final answer
    x = 10,163.40

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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.