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Finding the Fourth Proportional to 27,224.44, 40,829.37 and 7,498.31

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Solution

The fourth proportional to 27,224.44, 40,829.37 and 7,498.31 is: 11,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.44 : 40,829.37 = 7,498.31 : x
  2. Step 2: Convert to fraction form
    27,224.44/40,829.37 = 7,498.31/x
  3. Step 3: Cross multiply
    27,224.44x = 40,829.37 × 7,498.31
  4. Step 4: Simplify right side
    27,224.44x = 306,151,273.36
  5. Step 5: Solve for x
    x = 306,151,273.36/27,224.44
  6. Step 6: Final answer
    x = 11,245.46

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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.