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Finding the Fourth Proportional to 24,133.98, 33,304.82 and 13,523.38

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Solution

The fourth proportional to 24,133.98, 33,304.82 and 13,523.38 is: 18,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133.98 : 33,304.82 = 13,523.38 : x
  2. Step 2: Convert to fraction form
    24,133.98/33,304.82 = 13,523.38/x
  3. Step 3: Cross multiply
    24,133.98x = 33,304.82 × 13,523.38
  4. Step 4: Simplify right side
    24,133.98x = 450,393,736.69
  5. Step 5: Solve for x
    x = 450,393,736.69/24,133.98
  6. Step 6: Final answer
    x = 18,662.22

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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.