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Finding the Fourth Proportional to 12,382.94, 17,084.29 and 7,073.99

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Solution

The fourth proportional to 12,382.94, 17,084.29 and 7,073.99 is: 9,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.94 : 17,084.29 = 7,073.99 : x
  2. Step 2: Convert to fraction form
    12,382.94/17,084.29 = 7,073.99/x
  3. Step 3: Cross multiply
    12,382.94x = 17,084.29 × 7,073.99
  4. Step 4: Simplify right side
    12,382.94x = 120,854,096.62
  5. Step 5: Solve for x
    x = 120,854,096.62/12,382.94
  6. Step 6: Final answer
    x = 9,759.73

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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.