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Finding the Fourth Proportional to 24,571.72, 33,906 and 13,958.38

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Solution

The fourth proportional to 24,571.72, 33,906 and 13,958.38 is: 19,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571.72 : 33,906 = 13,958.38 : x
  2. Step 2: Convert to fraction form
    24,571.72/33,906 = 13,958.38/x
  3. Step 3: Cross multiply
    24,571.72x = 33,906 × 13,958.38
  4. Step 4: Simplify right side
    24,571.72x = 473,272,832.28
  5. Step 5: Solve for x
    x = 473,272,832.28/24,571.72
  6. Step 6: Final answer
    x = 19,260.88

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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.