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Finding the Fourth Proportional to 19,825.59, 27,358.44 and 11,872.20

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Solution

The fourth proportional to 19,825.59, 27,358.44 and 11,872.20 is: 16,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.59 : 27,358.44 = 11,872.20 : x
  2. Step 2: Convert to fraction form
    19,825.59/27,358.44 = 11,872.20/x
  3. Step 3: Cross multiply
    19,825.59x = 27,358.44 × 11,872.20
  4. Step 4: Simplify right side
    19,825.59x = 324,804,871.37
  5. Step 5: Solve for x
    x = 324,804,871.37/19,825.59
  6. Step 6: Final answer
    x = 16,383.11

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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.