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Finding the Fourth Proportional to 12,234.06, 16,883.10 and 7,198.29

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Solution

The fourth proportional to 12,234.06, 16,883.10 and 7,198.29 is: 9,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.06 : 16,883.10 = 7,198.29 : x
  2. Step 2: Convert to fraction form
    12,234.06/16,883.10 = 7,198.29/x
  3. Step 3: Cross multiply
    12,234.06x = 16,883.10 × 7,198.29
  4. Step 4: Simplify right side
    12,234.06x = 121,529,449.90
  5. Step 5: Solve for x
    x = 121,529,449.90/12,234.06
  6. Step 6: Final answer
    x = 9,933.70

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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.