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Finding the Fourth Proportional to 12,218.62, 16,857.82 and 7,181.23

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Solution

The fourth proportional to 12,218.62, 16,857.82 and 7,181.23 is: 9,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.62 : 16,857.82 = 7,181.23 : x
  2. Step 2: Convert to fraction form
    12,218.62/16,857.82 = 7,181.23/x
  3. Step 3: Cross multiply
    12,218.62x = 16,857.82 × 7,181.23
  4. Step 4: Simplify right side
    12,218.62x = 121,059,882.72
  5. Step 5: Solve for x
    x = 121,059,882.72/12,218.62
  6. Step 6: Final answer
    x = 9,907.82

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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.