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Finding the Fourth Proportional to 20,414.70, 30,608.28 and 7,084.26

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Solution

The fourth proportional to 20,414.70, 30,608.28 and 7,084.26 is: 10,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.70 : 30,608.28 = 7,084.26 : x
  2. Step 2: Convert to fraction form
    20,414.70/30,608.28 = 7,084.26/x
  3. Step 3: Cross multiply
    20,414.70x = 30,608.28 × 7,084.26
  4. Step 4: Simplify right side
    20,414.70x = 216,837,013.67
  5. Step 5: Solve for x
    x = 216,837,013.67/20,414.70
  6. Step 6: Final answer
    x = 10,621.61

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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.