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Finding the Fourth Proportional to 20,562.84, 30,843.72 and 5,771.88

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Solution

The fourth proportional to 20,562.84, 30,843.72 and 5,771.88 is: 8,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.84 : 30,843.72 = 5,771.88 : x
  2. Step 2: Convert to fraction form
    20,562.84/30,843.72 = 5,771.88/x
  3. Step 3: Cross multiply
    20,562.84x = 30,843.72 × 5,771.88
  4. Step 4: Simplify right side
    20,562.84x = 178,026,250.59
  5. Step 5: Solve for x
    x = 178,026,250.59/20,562.84
  6. Step 6: Final answer
    x = 8,657.67

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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.