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Finding the Fourth Proportional to 24,135.98, 33,305.83 and 13,523.56

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Solution

The fourth proportional to 24,135.98, 33,305.83 and 13,523.56 is: 18,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.98 : 33,305.83 = 13,523.56 : x
  2. Step 2: Convert to fraction form
    24,135.98/33,305.83 = 13,523.56/x
  3. Step 3: Cross multiply
    24,135.98x = 33,305.83 × 13,523.56
  4. Step 4: Simplify right side
    24,135.98x = 450,413,273.28
  5. Step 5: Solve for x
    x = 450,413,273.28/24,135.98
  6. Step 6: Final answer
    x = 18,661.49

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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.