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Finding the Fourth Proportional to 12,674.20, 17,491.26 and 7,084.12

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Solution

The fourth proportional to 12,674.20, 17,491.26 and 7,084.12 is: 9,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.20 : 17,491.26 = 7,084.12 : x
  2. Step 2: Convert to fraction form
    12,674.20/17,491.26 = 7,084.12/x
  3. Step 3: Cross multiply
    12,674.20x = 17,491.26 × 7,084.12
  4. Step 4: Simplify right side
    12,674.20x = 123,910,184.79
  5. Step 5: Solve for x
    x = 123,910,184.79/12,674.20
  6. Step 6: Final answer
    x = 9,776.57

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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.