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Finding the Fourth Proportional to 27,193.32, 40,782.52 and 7,467.20

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Solution

The fourth proportional to 27,193.32, 40,782.52 and 7,467.20 is: 11,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.32 : 40,782.52 = 7,467.20 : x
  2. Step 2: Convert to fraction form
    27,193.32/40,782.52 = 7,467.20/x
  3. Step 3: Cross multiply
    27,193.32x = 40,782.52 × 7,467.20
  4. Step 4: Simplify right side
    27,193.32x = 304,531,233.34
  5. Step 5: Solve for x
    x = 304,531,233.34/27,193.32
  6. Step 6: Final answer
    x = 11,198.75

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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.