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Finding the Fourth Proportional to 21,213.38, 29,274.47 and 11,782.82

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Solution

The fourth proportional to 21,213.38, 29,274.47 and 11,782.82 is: 16,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213.38 : 29,274.47 = 11,782.82 : x
  2. Step 2: Convert to fraction form
    21,213.38/29,274.47 = 11,782.82/x
  3. Step 3: Cross multiply
    21,213.38x = 29,274.47 × 11,782.82
  4. Step 4: Simplify right side
    21,213.38x = 344,935,605.32
  5. Step 5: Solve for x
    x = 344,935,605.32/21,213.38
  6. Step 6: Final answer
    x = 16,260.29

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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.