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Finding the Fourth Proportional to 29,696.68, 40,982.02 and 16,267.94

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Solution

The fourth proportional to 29,696.68, 40,982.02 and 16,267.94 is: 22,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.68 : 40,982.02 = 16,267.94 : x
  2. Step 2: Convert to fraction form
    29,696.68/40,982.02 = 16,267.94/x
  3. Step 3: Cross multiply
    29,696.68x = 40,982.02 × 16,267.94
  4. Step 4: Simplify right side
    29,696.68x = 666,693,042.44
  5. Step 5: Solve for x
    x = 666,693,042.44/29,696.68
  6. Step 6: Final answer
    x = 22,450.09

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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.