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Finding the Fourth Proportional to 12,255.98, 16,922.94 and 8,009.96

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Solution

The fourth proportional to 12,255.98, 16,922.94 and 8,009.96 is: 11,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.98 : 16,922.94 = 8,009.96 : x
  2. Step 2: Convert to fraction form
    12,255.98/16,922.94 = 8,009.96/x
  3. Step 3: Cross multiply
    12,255.98x = 16,922.94 × 8,009.96
  4. Step 4: Simplify right side
    12,255.98x = 135,552,072.48
  5. Step 5: Solve for x
    x = 135,552,072.48/12,255.98
  6. Step 6: Final answer
    x = 11,060.08

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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.