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Finding the Fourth Proportional to 27,517.60, 37,974.32 and 14,942.32

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Solution

The fourth proportional to 27,517.60, 37,974.32 and 14,942.32 is: 20,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,517.60 : 37,974.32 = 14,942.32 : x
  2. Step 2: Convert to fraction form
    27,517.60/37,974.32 = 14,942.32/x
  3. Step 3: Cross multiply
    27,517.60x = 37,974.32 × 14,942.32
  4. Step 4: Simplify right side
    27,517.60x = 567,424,441.22
  5. Step 5: Solve for x
    x = 567,424,441.22/27,517.60
  6. Step 6: Final answer
    x = 20,620.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.