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Finding the Fourth Proportional to 29,961, 41,346.18 and 16,713

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Solution

The fourth proportional to 29,961, 41,346.18 and 16,713 is: 23,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961 : 41,346.18 = 16,713 : x
  2. Step 2: Convert to fraction form
    29,961/41,346.18 = 16,713/x
  3. Step 3: Cross multiply
    29,961x = 41,346.18 × 16,713
  4. Step 4: Simplify right side
    29,961x = 691,018,706.34
  5. Step 5: Solve for x
    x = 691,018,706.34/29,961
  6. Step 6: Final answer
    x = 23,063.94

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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.