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Finding the Fourth Proportional to 20,560.60, 30,822 and 7,409.76

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Solution

The fourth proportional to 20,560.60, 30,822 and 7,409.76 is: 11,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.60 : 30,822 = 7,409.76 : x
  2. Step 2: Convert to fraction form
    20,560.60/30,822 = 7,409.76/x
  3. Step 3: Cross multiply
    20,560.60x = 30,822 × 7,409.76
  4. Step 4: Simplify right side
    20,560.60x = 228,383,622.72
  5. Step 5: Solve for x
    x = 228,383,622.72/20,560.60
  6. Step 6: Final answer
    x = 11,107.83

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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.