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Finding the Fourth Proportional to 27,176.84, 40,765.32 and 7,455.68

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Solution

The fourth proportional to 27,176.84, 40,765.32 and 7,455.68 is: 11,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176.84 : 40,765.32 = 7,455.68 : x
  2. Step 2: Convert to fraction form
    27,176.84/40,765.32 = 7,455.68/x
  3. Step 3: Cross multiply
    27,176.84x = 40,765.32 × 7,455.68
  4. Step 4: Simplify right side
    27,176.84x = 303,933,181.02
  5. Step 5: Solve for x
    x = 303,933,181.02/27,176.84
  6. Step 6: Final answer
    x = 11,183.54

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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.