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Finding the Fourth Proportional to 12,099.84, 16,699.16 and 6,796.36

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Solution

The fourth proportional to 12,099.84, 16,699.16 and 6,796.36 is: 9,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.84 : 16,699.16 = 6,796.36 : x
  2. Step 2: Convert to fraction form
    12,099.84/16,699.16 = 6,796.36/x
  3. Step 3: Cross multiply
    12,099.84x = 16,699.16 × 6,796.36
  4. Step 4: Simplify right side
    12,099.84x = 113,493,503.06
  5. Step 5: Solve for x
    x = 113,493,503.06/12,099.84
  6. Step 6: Final answer
    x = 9,379.75

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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.