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Finding the Fourth Proportional to 12,234.09, 16,890.06 and 8,054.49

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Solution

The fourth proportional to 12,234.09, 16,890.06 and 8,054.49 is: 11,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.09 : 16,890.06 = 8,054.49 : x
  2. Step 2: Convert to fraction form
    12,234.09/16,890.06 = 8,054.49/x
  3. Step 3: Cross multiply
    12,234.09x = 16,890.06 × 8,054.49
  4. Step 4: Simplify right side
    12,234.09x = 136,040,819.37
  5. Step 5: Solve for x
    x = 136,040,819.37/12,234.09
  6. Step 6: Final answer
    x = 11,119.82

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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.