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Finding the Fourth Proportional to 20,649.12, 30,975.23 and 5,859.24

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Solution

The fourth proportional to 20,649.12, 30,975.23 and 5,859.24 is: 8,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.12 : 30,975.23 = 5,859.24 : x
  2. Step 2: Convert to fraction form
    20,649.12/30,975.23 = 5,859.24/x
  3. Step 3: Cross multiply
    20,649.12x = 30,975.23 × 5,859.24
  4. Step 4: Simplify right side
    20,649.12x = 181,491,306.63
  5. Step 5: Solve for x
    x = 181,491,306.63/20,649.12
  6. Step 6: Final answer
    x = 8,789.30

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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.