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Finding the Fourth Proportional to 20,778.59, 31,149.39 and 7,627.88

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Solution

The fourth proportional to 20,778.59, 31,149.39 and 7,627.88 is: 11,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.59 : 31,149.39 = 7,627.88 : x
  2. Step 2: Convert to fraction form
    20,778.59/31,149.39 = 7,627.88/x
  3. Step 3: Cross multiply
    20,778.59x = 31,149.39 × 7,627.88
  4. Step 4: Simplify right side
    20,778.59x = 237,603,653.25
  5. Step 5: Solve for x
    x = 237,603,653.25/20,778.59
  6. Step 6: Final answer
    x = 11,435.03

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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.