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Finding the Fourth Proportional to 27,693.36, 41,533.83 and 7,967.52

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Solution

The fourth proportional to 27,693.36, 41,533.83 and 7,967.52 is: 11,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.36 : 41,533.83 = 7,967.52 : x
  2. Step 2: Convert to fraction form
    27,693.36/41,533.83 = 7,967.52/x
  3. Step 3: Cross multiply
    27,693.36x = 41,533.83 × 7,967.52
  4. Step 4: Simplify right side
    27,693.36x = 330,921,621.20
  5. Step 5: Solve for x
    x = 330,921,621.20/27,693.36
  6. Step 6: Final answer
    x = 11,949.49

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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.