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Finding the Fourth Proportional to 20,571.95, 30,859.12 and 5,782.02

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Solution

The fourth proportional to 20,571.95, 30,859.12 and 5,782.02 is: 8,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.95 : 30,859.12 = 5,782.02 : x
  2. Step 2: Convert to fraction form
    20,571.95/30,859.12 = 5,782.02/x
  3. Step 3: Cross multiply
    20,571.95x = 30,859.12 × 5,782.02
  4. Step 4: Simplify right side
    20,571.95x = 178,427,894.73
  5. Step 5: Solve for x
    x = 178,427,894.73/20,571.95
  6. Step 6: Final answer
    x = 8,673.36

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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.