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Finding the Fourth Proportional to 21,474.38, 29,633.64 and 12,043.82

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Solution

The fourth proportional to 21,474.38, 29,633.64 and 12,043.82 is: 16,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474.38 : 29,633.64 = 12,043.82 : x
  2. Step 2: Convert to fraction form
    21,474.38/29,633.64 = 12,043.82/x
  3. Step 3: Cross multiply
    21,474.38x = 29,633.64 × 12,043.82
  4. Step 4: Simplify right side
    21,474.38x = 356,902,226.10
  5. Step 5: Solve for x
    x = 356,902,226.10/21,474.38
  6. Step 6: Final answer
    x = 16,619.91

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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.