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Finding the Fourth Proportional to 20,052.12, 30,074.76 and 8,362.20

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Solution

The fourth proportional to 20,052.12, 30,074.76 and 8,362.20 is: 12,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.12 : 30,074.76 = 8,362.20 : x
  2. Step 2: Convert to fraction form
    20,052.12/30,074.76 = 8,362.20/x
  3. Step 3: Cross multiply
    20,052.12x = 30,074.76 × 8,362.20
  4. Step 4: Simplify right side
    20,052.12x = 251,491,158.07
  5. Step 5: Solve for x
    x = 251,491,158.07/20,052.12
  6. Step 6: Final answer
    x = 12,541.87

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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.