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Finding the Fourth Proportional to 27,182.44, 40,766.27 and 7,456.33

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Solution

The fourth proportional to 27,182.44, 40,766.27 and 7,456.33 is: 11,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.44 : 40,766.27 = 7,456.33 : x
  2. Step 2: Convert to fraction form
    27,182.44/40,766.27 = 7,456.33/x
  3. Step 3: Cross multiply
    27,182.44x = 40,766.27 × 7,456.33
  4. Step 4: Simplify right side
    27,182.44x = 303,966,558.16
  5. Step 5: Solve for x
    x = 303,966,558.16/27,182.44
  6. Step 6: Final answer
    x = 11,182.46

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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.