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Finding the Fourth Proportional to 12,097.57, 16,696.46 and 7,384.59

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Solution

The fourth proportional to 12,097.57, 16,696.46 and 7,384.59 is: 10,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.57 : 16,696.46 = 7,384.59 : x
  2. Step 2: Convert to fraction form
    12,097.57/16,696.46 = 7,384.59/x
  3. Step 3: Cross multiply
    12,097.57x = 16,696.46 × 7,384.59
  4. Step 4: Simplify right side
    12,097.57x = 123,296,511.55
  5. Step 5: Solve for x
    x = 123,296,511.55/12,097.57
  6. Step 6: Final answer
    x = 10,191.84

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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.