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Finding the Fourth Proportional to 19,794, 27,314.92 and 11,840.62

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Solution

The fourth proportional to 19,794, 27,314.92 and 11,840.62 is: 16,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794 : 27,314.92 = 11,840.62 : x
  2. Step 2: Convert to fraction form
    19,794/27,314.92 = 11,840.62/x
  3. Step 3: Cross multiply
    19,794x = 27,314.92 × 11,840.62
  4. Step 4: Simplify right side
    19,794x = 323,425,588.05
  5. Step 5: Solve for x
    x = 323,425,588.05/19,794
  6. Step 6: Final answer
    x = 16,339.58

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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.