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Finding the Fourth Proportional to 11,644.26, 17,474.85 and 8,730.42

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Solution

The fourth proportional to 11,644.26, 17,474.85 and 8,730.42 is: 13,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.26 : 17,474.85 = 8,730.42 : x
  2. Step 2: Convert to fraction form
    11,644.26/17,474.85 = 8,730.42/x
  3. Step 3: Cross multiply
    11,644.26x = 17,474.85 × 8,730.42
  4. Step 4: Simplify right side
    11,644.26x = 152,562,779.94
  5. Step 5: Solve for x
    x = 152,562,779.94/11,644.26
  6. Step 6: Final answer
    x = 13,101.97

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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.