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Finding the Fourth Proportional to 12,099.47, 16,696.83 and 6,794.51

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Solution

The fourth proportional to 12,099.47, 16,696.83 and 6,794.51 is: 9,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.47 : 16,696.83 = 6,794.51 : x
  2. Step 2: Convert to fraction form
    12,099.47/16,696.83 = 6,794.51/x
  3. Step 3: Cross multiply
    12,099.47x = 16,696.83 × 6,794.51
  4. Step 4: Simplify right side
    12,099.47x = 113,446,694.92
  5. Step 5: Solve for x
    x = 113,446,694.92/12,099.47
  6. Step 6: Final answer
    x = 9,376.17

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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.