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Finding the Fourth Proportional to 24,500.91, 33,807.27 and 13,893.96

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Solution

The fourth proportional to 24,500.91, 33,807.27 and 13,893.96 is: 19,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.91 : 33,807.27 = 13,893.96 : x
  2. Step 2: Convert to fraction form
    24,500.91/33,807.27 = 13,893.96/x
  3. Step 3: Cross multiply
    24,500.91x = 33,807.27 × 13,893.96
  4. Step 4: Simplify right side
    24,500.91x = 469,717,035.97
  5. Step 5: Solve for x
    x = 469,717,035.97/24,500.91
  6. Step 6: Final answer
    x = 19,171.41

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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.