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Finding the Fourth Proportional to 20,627.98, 30,944.22 and 6,584.74

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Solution

The fourth proportional to 20,627.98, 30,944.22 and 6,584.74 is: 9,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627.98 : 30,944.22 = 6,584.74 : x
  2. Step 2: Convert to fraction form
    20,627.98/30,944.22 = 6,584.74/x
  3. Step 3: Cross multiply
    20,627.98x = 30,944.22 × 6,584.74
  4. Step 4: Simplify right side
    20,627.98x = 203,759,643.20
  5. Step 5: Solve for x
    x = 203,759,643.20/20,627.98
  6. Step 6: Final answer
    x = 9,877.83

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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.