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Finding the Fourth Proportional to 27,663.60, 41,495.40 and 7,942.80

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Solution

The fourth proportional to 27,663.60, 41,495.40 and 7,942.80 is: 11,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.60 : 41,495.40 = 7,942.80 : x
  2. Step 2: Convert to fraction form
    27,663.60/41,495.40 = 7,942.80/x
  3. Step 3: Cross multiply
    27,663.60x = 41,495.40 × 7,942.80
  4. Step 4: Simplify right side
    27,663.60x = 329,589,663.12
  5. Step 5: Solve for x
    x = 329,589,663.12/27,663.60
  6. Step 6: Final answer
    x = 11,914.20

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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.