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Finding the Fourth Proportional to 20,522.46, 30,771.36 and 8,027.58

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Solution

The fourth proportional to 20,522.46, 30,771.36 and 8,027.58 is: 12,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.46 : 30,771.36 = 8,027.58 : x
  2. Step 2: Convert to fraction form
    20,522.46/30,771.36 = 8,027.58/x
  3. Step 3: Cross multiply
    20,522.46x = 30,771.36 × 8,027.58
  4. Step 4: Simplify right side
    20,522.46x = 247,019,554.11
  5. Step 5: Solve for x
    x = 247,019,554.11/20,522.46
  6. Step 6: Final answer
    x = 12,036.55

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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.