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Finding the Fourth Proportional to 20,571.84, 30,853.60 and 5,781.44

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Solution

The fourth proportional to 20,571.84, 30,853.60 and 5,781.44 is: 8,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.84 : 30,853.60 = 5,781.44 : x
  2. Step 2: Convert to fraction form
    20,571.84/30,853.60 = 5,781.44/x
  3. Step 3: Cross multiply
    20,571.84x = 30,853.60 × 5,781.44
  4. Step 4: Simplify right side
    20,571.84x = 178,378,237.18
  5. Step 5: Solve for x
    x = 178,378,237.18/20,571.84
  6. Step 6: Final answer
    x = 8,670.99

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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.