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Finding the Fourth Proportional to 12,097.82, 16,696.80 and 7,384.84

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Solution

The fourth proportional to 12,097.82, 16,696.80 and 7,384.84 is: 10,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.82 : 16,696.80 = 7,384.84 : x
  2. Step 2: Convert to fraction form
    12,097.82/16,696.80 = 7,384.84/x
  3. Step 3: Cross multiply
    12,097.82x = 16,696.80 × 7,384.84
  4. Step 4: Simplify right side
    12,097.82x = 123,303,196.51
  5. Step 5: Solve for x
    x = 123,303,196.51/12,097.82
  6. Step 6: Final answer
    x = 10,192.18

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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.