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Finding the Fourth Proportional to 19,758.64, 27,267.36 and 11,799.37

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Solution

The fourth proportional to 19,758.64, 27,267.36 and 11,799.37 is: 16,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.64 : 27,267.36 = 11,799.37 : x
  2. Step 2: Convert to fraction form
    19,758.64/27,267.36 = 11,799.37/x
  3. Step 3: Cross multiply
    19,758.64x = 27,267.36 × 11,799.37
  4. Step 4: Simplify right side
    19,758.64x = 321,737,669.56
  5. Step 5: Solve for x
    x = 321,737,669.56/19,758.64
  6. Step 6: Final answer
    x = 16,283.39

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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.