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Finding the Fourth Proportional to 16,277.82, 22,467.42 and 9,208.44

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Solution

The fourth proportional to 16,277.82, 22,467.42 and 9,208.44 is: 12,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.82 : 22,467.42 = 9,208.44 : x
  2. Step 2: Convert to fraction form
    16,277.82/22,467.42 = 9,208.44/x
  3. Step 3: Cross multiply
    16,277.82x = 22,467.42 × 9,208.44
  4. Step 4: Simplify right side
    16,277.82x = 206,889,889.02
  5. Step 5: Solve for x
    x = 206,889,889.02/16,277.82
  6. Step 6: Final answer
    x = 12,709.93

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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.