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Finding the Fourth Proportional to 18,343.82, 27,511.88 and 5,192.66

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Solution

The fourth proportional to 18,343.82, 27,511.88 and 5,192.66 is: 7,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,343.82 : 27,511.88 = 5,192.66 : x
  2. Step 2: Convert to fraction form
    18,343.82/27,511.88 = 5,192.66/x
  3. Step 3: Cross multiply
    18,343.82x = 27,511.88 × 5,192.66
  4. Step 4: Simplify right side
    18,343.82x = 142,859,675.28
  5. Step 5: Solve for x
    x = 142,859,675.28/18,343.82
  6. Step 6: Final answer
    x = 7,787.89

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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.