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Finding the Fourth Proportional to 27,696.93, 41,535.67 and 7,970.19

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Solution

The fourth proportional to 27,696.93, 41,535.67 and 7,970.19 is: 11,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.93 : 41,535.67 = 7,970.19 : x
  2. Step 2: Convert to fraction form
    27,696.93/41,535.67 = 7,970.19/x
  3. Step 3: Cross multiply
    27,696.93x = 41,535.67 × 7,970.19
  4. Step 4: Simplify right side
    27,696.93x = 331,047,181.68
  5. Step 5: Solve for x
    x = 331,047,181.68/27,696.93
  6. Step 6: Final answer
    x = 11,952.49

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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.