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Finding the Fourth Proportional to 20,604.75, 30,896.19 and 9,505.74

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Solution

The fourth proportional to 20,604.75, 30,896.19 and 9,505.74 is: 14,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,604.75 : 30,896.19 = 9,505.74 : x
  2. Step 2: Convert to fraction form
    20,604.75/30,896.19 = 9,505.74/x
  3. Step 3: Cross multiply
    20,604.75x = 30,896.19 × 9,505.74
  4. Step 4: Simplify right side
    20,604.75x = 293,691,149.13
  5. Step 5: Solve for x
    x = 293,691,149.13/20,604.75
  6. Step 6: Final answer
    x = 14,253.57

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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.