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Finding the Fourth Proportional to 27,693.26, 41,535.39 and 7,967.33

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Solution

The fourth proportional to 27,693.26, 41,535.39 and 7,967.33 is: 11,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.26 : 41,535.39 = 7,967.33 : x
  2. Step 2: Convert to fraction form
    27,693.26/41,535.39 = 7,967.33/x
  3. Step 3: Cross multiply
    27,693.26x = 41,535.39 × 7,967.33
  4. Step 4: Simplify right side
    27,693.26x = 330,926,158.81
  5. Step 5: Solve for x
    x = 330,926,158.81/27,693.26
  6. Step 6: Final answer
    x = 11,949.70

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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.