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Finding the Fourth Proportional to 20,305.53, 30,451.77 and 6,451.29

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Solution

The fourth proportional to 20,305.53, 30,451.77 and 6,451.29 is: 9,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.53 : 30,451.77 = 6,451.29 : x
  2. Step 2: Convert to fraction form
    20,305.53/30,451.77 = 6,451.29/x
  3. Step 3: Cross multiply
    20,305.53x = 30,451.77 × 6,451.29
  4. Step 4: Simplify right side
    20,305.53x = 196,453,199.28
  5. Step 5: Solve for x
    x = 196,453,199.28/20,305.53
  6. Step 6: Final answer
    x = 9,674.86

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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.