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Finding the Fourth Proportional to 27,662.64, 41,501.28 and 7,942.38

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Solution

The fourth proportional to 27,662.64, 41,501.28 and 7,942.38 is: 11,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.64 : 41,501.28 = 7,942.38 : x
  2. Step 2: Convert to fraction form
    27,662.64/41,501.28 = 7,942.38/x
  3. Step 3: Cross multiply
    27,662.64x = 41,501.28 × 7,942.38
  4. Step 4: Simplify right side
    27,662.64x = 329,618,936.25
  5. Step 5: Solve for x
    x = 329,618,936.25/27,662.64
  6. Step 6: Final answer
    x = 11,915.67

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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.