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Finding the Fourth Proportional to 19,924.82, 27,507.30 and 11,969

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Solution

The fourth proportional to 19,924.82, 27,507.30 and 11,969 is: 16,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924.82 : 27,507.30 = 11,969 : x
  2. Step 2: Convert to fraction form
    19,924.82/27,507.30 = 11,969/x
  3. Step 3: Cross multiply
    19,924.82x = 27,507.30 × 11,969
  4. Step 4: Simplify right side
    19,924.82x = 329,234,873.70
  5. Step 5: Solve for x
    x = 329,234,873.70/19,924.82
  6. Step 6: Final answer
    x = 16,523.86

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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.