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Finding the Fourth Proportional to 18,511.97, 27,742.79 and 7,829.44

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Solution

The fourth proportional to 18,511.97, 27,742.79 and 7,829.44 is: 11,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.97 : 27,742.79 = 7,829.44 : x
  2. Step 2: Convert to fraction form
    18,511.97/27,742.79 = 7,829.44/x
  3. Step 3: Cross multiply
    18,511.97x = 27,742.79 × 7,829.44
  4. Step 4: Simplify right side
    18,511.97x = 217,210,505.27
  5. Step 5: Solve for x
    x = 217,210,505.27/18,511.97
  6. Step 6: Final answer
    x = 11,733.52

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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.