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Finding the Fourth Proportional to 27,494.16, 41,213.07 and 10,847.46

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Solution

The fourth proportional to 27,494.16, 41,213.07 and 10,847.46 is: 16,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.16 : 41,213.07 = 10,847.46 : x
  2. Step 2: Convert to fraction form
    27,494.16/41,213.07 = 10,847.46/x
  3. Step 3: Cross multiply
    27,494.16x = 41,213.07 × 10,847.46
  4. Step 4: Simplify right side
    27,494.16x = 447,057,128.30
  5. Step 5: Solve for x
    x = 447,057,128.30/27,494.16
  6. Step 6: Final answer
    x = 16,260.08

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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.