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Finding the Fourth Proportional to 21,381, 29,505.78 and 11,949.57

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Solution

The fourth proportional to 21,381, 29,505.78 and 11,949.57 is: 16,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381 : 29,505.78 = 11,949.57 : x
  2. Step 2: Convert to fraction form
    21,381/29,505.78 = 11,949.57/x
  3. Step 3: Cross multiply
    21,381x = 29,505.78 × 11,949.57
  4. Step 4: Simplify right side
    21,381x = 352,581,383.51
  5. Step 5: Solve for x
    x = 352,581,383.51/21,381
  6. Step 6: Final answer
    x = 16,490.41

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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.