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Finding the Fourth Proportional to 21,046.14, 29,043.50 and 11,614.50

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Solution

The fourth proportional to 21,046.14, 29,043.50 and 11,614.50 is: 16,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.14 : 29,043.50 = 11,614.50 : x
  2. Step 2: Convert to fraction form
    21,046.14/29,043.50 = 11,614.50/x
  3. Step 3: Cross multiply
    21,046.14x = 29,043.50 × 11,614.50
  4. Step 4: Simplify right side
    21,046.14x = 337,325,672.68
  5. Step 5: Solve for x
    x = 337,325,672.68/21,046.14
  6. Step 6: Final answer
    x = 16,027.91

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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.