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Finding the Fourth Proportional to 27,188.62, 40,775.09 and 7,467.82

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Solution

The fourth proportional to 27,188.62, 40,775.09 and 7,467.82 is: 11,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.62 : 40,775.09 = 7,467.82 : x
  2. Step 2: Convert to fraction form
    27,188.62/40,775.09 = 7,467.82/x
  3. Step 3: Cross multiply
    27,188.62x = 40,775.09 × 7,467.82
  4. Step 4: Simplify right side
    27,188.62x = 304,500,949.34
  5. Step 5: Solve for x
    x = 304,500,949.34/27,188.62
  6. Step 6: Final answer
    x = 11,199.57

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Why These Related Problems?

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