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Finding the Fourth Proportional to 20,519.75, 30,782.91 and 8,673.62

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Solution

The fourth proportional to 20,519.75, 30,782.91 and 8,673.62 is: 13,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.75 : 30,782.91 = 8,673.62 : x
  2. Step 2: Convert to fraction form
    20,519.75/30,782.91 = 8,673.62/x
  3. Step 3: Cross multiply
    20,519.75x = 30,782.91 × 8,673.62
  4. Step 4: Simplify right side
    20,519.75x = 266,999,263.83
  5. Step 5: Solve for x
    x = 266,999,263.83/20,519.75
  6. Step 6: Final answer
    x = 13,011.82

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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.