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Finding the Fourth Proportional to 29,856, 41,198.58 and 16,427.82

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Solution

The fourth proportional to 29,856, 41,198.58 and 16,427.82 is: 22,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856 : 41,198.58 = 16,427.82 : x
  2. Step 2: Convert to fraction form
    29,856/41,198.58 = 16,427.82/x
  3. Step 3: Cross multiply
    29,856x = 41,198.58 × 16,427.82
  4. Step 4: Simplify right side
    29,856x = 676,802,856.50
  5. Step 5: Solve for x
    x = 676,802,856.50/29,856
  6. Step 6: Final answer
    x = 22,668.91

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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.