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Finding the Fourth Proportional to 22,605.78, 33,912.33 and 7,027.02

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Solution

The fourth proportional to 22,605.78, 33,912.33 and 7,027.02 is: 10,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.78 : 33,912.33 = 7,027.02 : x
  2. Step 2: Convert to fraction form
    22,605.78/33,912.33 = 7,027.02/x
  3. Step 3: Cross multiply
    22,605.78x = 33,912.33 × 7,027.02
  4. Step 4: Simplify right side
    22,605.78x = 238,302,621.16
  5. Step 5: Solve for x
    x = 238,302,621.16/22,605.78
  6. Step 6: Final answer
    x = 10,541.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.