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Finding the Fourth Proportional to 20,295.75, 30,431.46 and 8,435.25

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Solution

The fourth proportional to 20,295.75, 30,431.46 and 8,435.25 is: 12,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.75 : 30,431.46 = 8,435.25 : x
  2. Step 2: Convert to fraction form
    20,295.75/30,431.46 = 8,435.25/x
  3. Step 3: Cross multiply
    20,295.75x = 30,431.46 × 8,435.25
  4. Step 4: Simplify right side
    20,295.75x = 256,696,972.97
  5. Step 5: Solve for x
    x = 256,696,972.97/20,295.75
  6. Step 6: Final answer
    x = 12,647.82

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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.