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Finding the Fourth Proportional to 24,287.72, 33,516.94 and 13,677.44

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Solution

The fourth proportional to 24,287.72, 33,516.94 and 13,677.44 is: 18,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.72 : 33,516.94 = 13,677.44 : x
  2. Step 2: Convert to fraction form
    24,287.72/33,516.94 = 13,677.44/x
  3. Step 3: Cross multiply
    24,287.72x = 33,516.94 × 13,677.44
  4. Step 4: Simplify right side
    24,287.72x = 458,425,935.83
  5. Step 5: Solve for x
    x = 458,425,935.83/24,287.72
  6. Step 6: Final answer
    x = 18,874.80

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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.