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Finding the Fourth Proportional to 12,097.25, 16,696.03 and 7,384.27

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Solution

The fourth proportional to 12,097.25, 16,696.03 and 7,384.27 is: 10,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.25 : 16,696.03 = 7,384.27 : x
  2. Step 2: Convert to fraction form
    12,097.25/16,696.03 = 7,384.27/x
  3. Step 3: Cross multiply
    12,097.25x = 16,696.03 × 7,384.27
  4. Step 4: Simplify right side
    12,097.25x = 123,287,928.43
  5. Step 5: Solve for x
    x = 123,287,928.43/12,097.25
  6. Step 6: Final answer
    x = 10,191.41

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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.