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Finding the Fourth Proportional to 16,910.82, 23,337.81 and 9,838.98

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Solution

The fourth proportional to 16,910.82, 23,337.81 and 9,838.98 is: 13,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,910.82 : 23,337.81 = 9,838.98 : x
  2. Step 2: Convert to fraction form
    16,910.82/23,337.81 = 9,838.98/x
  3. Step 3: Cross multiply
    16,910.82x = 23,337.81 × 9,838.98
  4. Step 4: Simplify right side
    16,910.82x = 229,620,245.83
  5. Step 5: Solve for x
    x = 229,620,245.83/16,910.82
  6. Step 6: Final answer
    x = 13,578.30

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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.