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Finding the Fourth Proportional to 27,181.94, 40,765.52 and 7,455.83

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Solution

The fourth proportional to 27,181.94, 40,765.52 and 7,455.83 is: 11,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.94 : 40,765.52 = 7,455.83 : x
  2. Step 2: Convert to fraction form
    27,181.94/40,765.52 = 7,455.83/x
  3. Step 3: Cross multiply
    27,181.94x = 40,765.52 × 7,455.83
  4. Step 4: Simplify right side
    27,181.94x = 303,940,601.79
  5. Step 5: Solve for x
    x = 303,940,601.79/27,181.94
  6. Step 6: Final answer
    x = 11,181.71

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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.