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Finding the Fourth Proportional to 11,656.35, 17,469.93 and 9,181.41

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Solution

The fourth proportional to 11,656.35, 17,469.93 and 9,181.41 is: 13,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.35 : 17,469.93 = 9,181.41 : x
  2. Step 2: Convert to fraction form
    11,656.35/17,469.93 = 9,181.41/x
  3. Step 3: Cross multiply
    11,656.35x = 17,469.93 × 9,181.41
  4. Step 4: Simplify right side
    11,656.35x = 160,398,590.00
  5. Step 5: Solve for x
    x = 160,398,590.00/11,656.35
  6. Step 6: Final answer
    x = 13,760.62

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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.