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Finding the Fourth Proportional to 12,694.53, 19,046.36 and 5,673.96

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Solution

The fourth proportional to 12,694.53, 19,046.36 and 5,673.96 is: 8,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.53 : 19,046.36 = 5,673.96 : x
  2. Step 2: Convert to fraction form
    12,694.53/19,046.36 = 5,673.96/x
  3. Step 3: Cross multiply
    12,694.53x = 19,046.36 × 5,673.96
  4. Step 4: Simplify right side
    12,694.53x = 108,068,298.97
  5. Step 5: Solve for x
    x = 108,068,298.97/12,694.53
  6. Step 6: Final answer
    x = 8,512.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.