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Finding the Fourth Proportional to 20,571.49, 30,857.37 and 5,780.69

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Solution

The fourth proportional to 20,571.49, 30,857.37 and 5,780.69 is: 8,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.49 : 30,857.37 = 5,780.69 : x
  2. Step 2: Convert to fraction form
    20,571.49/30,857.37 = 5,780.69/x
  3. Step 3: Cross multiply
    20,571.49x = 30,857.37 × 5,780.69
  4. Step 4: Simplify right side
    20,571.49x = 178,376,890.19
  5. Step 5: Solve for x
    x = 178,376,890.19/20,571.49
  6. Step 6: Final answer
    x = 8,671.07

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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.