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Finding the Fourth Proportional to 22,134.53, 33,206.73 and 8,094.25

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Solution

The fourth proportional to 22,134.53, 33,206.73 and 8,094.25 is: 12,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134.53 : 33,206.73 = 8,094.25 : x
  2. Step 2: Convert to fraction form
    22,134.53/33,206.73 = 8,094.25/x
  3. Step 3: Cross multiply
    22,134.53x = 33,206.73 × 8,094.25
  4. Step 4: Simplify right side
    22,134.53x = 268,783,576.74
  5. Step 5: Solve for x
    x = 268,783,576.74/22,134.53
  6. Step 6: Final answer
    x = 12,143.18

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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.