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Finding the Fourth Proportional to 27,663.44, 41,495.42 and 7,942.00

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Solution

The fourth proportional to 27,663.44, 41,495.42 and 7,942.00 is: 11,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.44 : 41,495.42 = 7,942.00 : x
  2. Step 2: Convert to fraction form
    27,663.44/41,495.42 = 7,942.00/x
  3. Step 3: Cross multiply
    27,663.44x = 41,495.42 × 7,942.00
  4. Step 4: Simplify right side
    27,663.44x = 329,556,378.45
  5. Step 5: Solve for x
    x = 329,556,378.45/27,663.44
  6. Step 6: Final answer
    x = 11,913.07

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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.