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Finding the Fourth Proportional to 12,097.31, 16,696.11 and 7,384.33

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Solution

The fourth proportional to 12,097.31, 16,696.11 and 7,384.33 is: 10,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.31 : 16,696.11 = 7,384.33 : x
  2. Step 2: Convert to fraction form
    12,097.31/16,696.11 = 7,384.33/x
  3. Step 3: Cross multiply
    12,097.31x = 16,696.11 × 7,384.33
  4. Step 4: Simplify right side
    12,097.31x = 123,289,585.96
  5. Step 5: Solve for x
    x = 123,289,585.96/12,097.31
  6. Step 6: Final answer
    x = 10,191.49

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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.