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Finding the Fourth Proportional to 20,210.75, 30,308.72 and 7,724.60

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Solution

The fourth proportional to 20,210.75, 30,308.72 and 7,724.60 is: 11,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.75 : 30,308.72 = 7,724.60 : x
  2. Step 2: Convert to fraction form
    20,210.75/30,308.72 = 7,724.60/x
  3. Step 3: Cross multiply
    20,210.75x = 30,308.72 × 7,724.60
  4. Step 4: Simplify right side
    20,210.75x = 234,122,586.97
  5. Step 5: Solve for x
    x = 234,122,586.97/20,210.75
  6. Step 6: Final answer
    x = 11,584.07

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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.