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Finding the Fourth Proportional to 27,416.56, 41,125.17 and 9,647.75

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Solution

The fourth proportional to 27,416.56, 41,125.17 and 9,647.75 is: 14,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.56 : 41,125.17 = 9,647.75 : x
  2. Step 2: Convert to fraction form
    27,416.56/41,125.17 = 9,647.75/x
  3. Step 3: Cross multiply
    27,416.56x = 41,125.17 × 9,647.75
  4. Step 4: Simplify right side
    27,416.56x = 396,765,153.24
  5. Step 5: Solve for x
    x = 396,765,153.24/27,416.56
  6. Step 6: Final answer
    x = 14,471.74

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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.