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Finding the Fourth Proportional to 19,754.64, 27,261.83 and 11,795.38

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Solution

The fourth proportional to 19,754.64, 27,261.83 and 11,795.38 is: 16,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.64 : 27,261.83 = 11,795.38 : x
  2. Step 2: Convert to fraction form
    19,754.64/27,261.83 = 11,795.38/x
  3. Step 3: Cross multiply
    19,754.64x = 27,261.83 × 11,795.38
  4. Step 4: Simplify right side
    19,754.64x = 321,563,605.68
  5. Step 5: Solve for x
    x = 321,563,605.68/19,754.64
  6. Step 6: Final answer
    x = 16,277.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.