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Finding the Fourth Proportional to 19,830.72, 27,367.20 and 11,871.36

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Solution

The fourth proportional to 19,830.72, 27,367.20 and 11,871.36 is: 16,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.72 : 27,367.20 = 11,871.36 : x
  2. Step 2: Convert to fraction form
    19,830.72/27,367.20 = 11,871.36/x
  3. Step 3: Cross multiply
    19,830.72x = 27,367.20 × 11,871.36
  4. Step 4: Simplify right side
    19,830.72x = 324,885,883.39
  5. Step 5: Solve for x
    x = 324,885,883.39/19,830.72
  6. Step 6: Final answer
    x = 16,382.96

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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.