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Finding the Fourth Proportional to 27,657.30, 41,459.70 and 11,027.54

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Solution

The fourth proportional to 27,657.30, 41,459.70 and 11,027.54 is: 16,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.30 : 41,459.70 = 11,027.54 : x
  2. Step 2: Convert to fraction form
    27,657.30/41,459.70 = 11,027.54/x
  3. Step 3: Cross multiply
    27,657.30x = 41,459.70 × 11,027.54
  4. Step 4: Simplify right side
    27,657.30x = 457,198,500.14
  5. Step 5: Solve for x
    x = 457,198,500.14/27,657.30
  6. Step 6: Final answer
    x = 16,530.84

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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.