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Finding the Fourth Proportional to 11,654.85, 17,467.68 and 9,179.91

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Solution

The fourth proportional to 11,654.85, 17,467.68 and 9,179.91 is: 13,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.85 : 17,467.68 = 9,179.91 : x
  2. Step 2: Convert to fraction form
    11,654.85/17,467.68 = 9,179.91/x
  3. Step 3: Cross multiply
    11,654.85x = 17,467.68 × 9,179.91
  4. Step 4: Simplify right side
    11,654.85x = 160,351,730.31
  5. Step 5: Solve for x
    x = 160,351,730.31/11,654.85
  6. Step 6: Final answer
    x = 13,758.37

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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.