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Finding the Fourth Proportional to 22,846.64, 34,273.44 and 8,052.96

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Solution

The fourth proportional to 22,846.64, 34,273.44 and 8,052.96 is: 12,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.64 : 34,273.44 = 8,052.96 : x
  2. Step 2: Convert to fraction form
    22,846.64/34,273.44 = 8,052.96/x
  3. Step 3: Cross multiply
    22,846.64x = 34,273.44 × 8,052.96
  4. Step 4: Simplify right side
    22,846.64x = 276,002,641.38
  5. Step 5: Solve for x
    x = 276,002,641.38/22,846.64
  6. Step 6: Final answer
    x = 12,080.67

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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.