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Finding the Fourth Proportional to 24,133.71, 33,305.07 and 13,523.31

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Solution

The fourth proportional to 24,133.71, 33,305.07 and 13,523.31 is: 18,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133.71 : 33,305.07 = 13,523.31 : x
  2. Step 2: Convert to fraction form
    24,133.71/33,305.07 = 13,523.31/x
  3. Step 3: Cross multiply
    24,133.71x = 33,305.07 × 13,523.31
  4. Step 4: Simplify right side
    24,133.71x = 450,394,786.18
  5. Step 5: Solve for x
    x = 450,394,786.18/24,133.71
  6. Step 6: Final answer
    x = 18,662.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.