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Finding the Fourth Proportional to 21,042.28, 29,036.91 and 11,611

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Solution

The fourth proportional to 21,042.28, 29,036.91 and 11,611 is: 16,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.28 : 29,036.91 = 11,611 : x
  2. Step 2: Convert to fraction form
    21,042.28/29,036.91 = 11,611/x
  3. Step 3: Cross multiply
    21,042.28x = 29,036.91 × 11,611
  4. Step 4: Simplify right side
    21,042.28x = 337,147,562.01
  5. Step 5: Solve for x
    x = 337,147,562.01/21,042.28
  6. Step 6: Final answer
    x = 16,022.39

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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.