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Finding the Fourth Proportional to 27,181.98, 40,774.14 and 7,462.44

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Solution

The fourth proportional to 27,181.98, 40,774.14 and 7,462.44 is: 11,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.98 : 40,774.14 = 7,462.44 : x
  2. Step 2: Convert to fraction form
    27,181.98/40,774.14 = 7,462.44/x
  3. Step 3: Cross multiply
    27,181.98x = 40,774.14 × 7,462.44
  4. Step 4: Simplify right side
    27,181.98x = 304,274,573.30
  5. Step 5: Solve for x
    x = 304,274,573.30/27,181.98
  6. Step 6: Final answer
    x = 11,193.98

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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.