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Finding the Fourth Proportional to 29,926.78, 41,299.22 and 16,498.51

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Solution

The fourth proportional to 29,926.78, 41,299.22 and 16,498.51 is: 22,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,926.78 : 41,299.22 = 16,498.51 : x
  2. Step 2: Convert to fraction form
    29,926.78/41,299.22 = 16,498.51/x
  3. Step 3: Cross multiply
    29,926.78x = 41,299.22 × 16,498.51
  4. Step 4: Simplify right side
    29,926.78x = 681,375,532.16
  5. Step 5: Solve for x
    x = 681,375,532.16/29,926.78
  6. Step 6: Final answer
    x = 22,768.09

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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.