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Finding the Fourth Proportional to 24,523.83, 33,853.16 and 16,576.82

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Solution

The fourth proportional to 24,523.83, 33,853.16 and 16,576.82 is: 22,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.83 : 33,853.16 = 16,576.82 : x
  2. Step 2: Convert to fraction form
    24,523.83/33,853.16 = 16,576.82/x
  3. Step 3: Cross multiply
    24,523.83x = 33,853.16 × 16,576.82
  4. Step 4: Simplify right side
    24,523.83x = 561,177,738.88
  5. Step 5: Solve for x
    x = 561,177,738.88/24,523.83
  6. Step 6: Final answer
    x = 22,882.96

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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.