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Finding the Fourth Proportional to 29,811, 41,139.38 and 16,383.36

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Solution

The fourth proportional to 29,811, 41,139.38 and 16,383.36 is: 22,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811 : 41,139.38 = 16,383.36 : x
  2. Step 2: Convert to fraction form
    29,811/41,139.38 = 16,383.36/x
  3. Step 3: Cross multiply
    29,811x = 41,139.38 × 16,383.36
  4. Step 4: Simplify right side
    29,811x = 674,001,272.72
  5. Step 5: Solve for x
    x = 674,001,272.72/29,811
  6. Step 6: Final answer
    x = 22,609.15

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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.