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Finding the Fourth Proportional to 20,560.05, 30,842.00 and 5,768.90

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Solution

The fourth proportional to 20,560.05, 30,842.00 and 5,768.90 is: 8,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.05 : 30,842.00 = 5,768.90 : x
  2. Step 2: Convert to fraction form
    20,560.05/30,842.00 = 5,768.90/x
  3. Step 3: Cross multiply
    20,560.05x = 30,842.00 × 5,768.90
  4. Step 4: Simplify right side
    20,560.05x = 177,924,230.75
  5. Step 5: Solve for x
    x = 177,924,230.75/20,560.05
  6. Step 6: Final answer
    x = 8,653.88

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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.