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Finding the Fourth Proportional to 21,057.89, 29,057.27 and 11,626.38

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Solution

The fourth proportional to 21,057.89, 29,057.27 and 11,626.38 is: 16,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.89 : 29,057.27 = 11,626.38 : x
  2. Step 2: Convert to fraction form
    21,057.89/29,057.27 = 11,626.38/x
  3. Step 3: Cross multiply
    21,057.89x = 29,057.27 × 11,626.38
  4. Step 4: Simplify right side
    21,057.89x = 337,830,804.65
  5. Step 5: Solve for x
    x = 337,830,804.65/21,057.89
  6. Step 6: Final answer
    x = 16,042.96

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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.