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Finding the Fourth Proportional to 27,796.08, 41,708.16 and 13,944

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Solution

The fourth proportional to 27,796.08, 41,708.16 and 13,944 is: 20,923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.08 : 41,708.16 = 13,944 : x
  2. Step 2: Convert to fraction form
    27,796.08/41,708.16 = 13,944/x
  3. Step 3: Cross multiply
    27,796.08x = 41,708.16 × 13,944
  4. Step 4: Simplify right side
    27,796.08x = 581,578,583.04
  5. Step 5: Solve for x
    x = 581,578,583.04/27,796.08
  6. Step 6: Final answer
    x = 20,923.04

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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.