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Finding the Fourth Proportional to 20,233.80, 30,350.70 and 7,084.46

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Solution

The fourth proportional to 20,233.80, 30,350.70 and 7,084.46 is: 10,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.80 : 30,350.70 = 7,084.46 : x
  2. Step 2: Convert to fraction form
    20,233.80/30,350.70 = 7,084.46/x
  3. Step 3: Cross multiply
    20,233.80x = 30,350.70 × 7,084.46
  4. Step 4: Simplify right side
    20,233.80x = 215,018,396.00
  5. Step 5: Solve for x
    x = 215,018,396.00/20,233.80
  6. Step 6: Final answer
    x = 10,626.69

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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.