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Finding the Fourth Proportional to 12,097.28, 16,694.88 and 7,381.28

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Solution

The fourth proportional to 12,097.28, 16,694.88 and 7,381.28 is: 10,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.28 : 16,694.88 = 7,381.28 : x
  2. Step 2: Convert to fraction form
    12,097.28/16,694.88 = 7,381.28/x
  3. Step 3: Cross multiply
    12,097.28x = 16,694.88 × 7,381.28
  4. Step 4: Simplify right side
    12,097.28x = 123,229,583.85
  5. Step 5: Solve for x
    x = 123,229,583.85/12,097.28
  6. Step 6: Final answer
    x = 10,186.55

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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.