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Finding the Fourth Proportional to 13,401.61, 18,498.09 and 8,096.83

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Solution

The fourth proportional to 13,401.61, 18,498.09 and 8,096.83 is: 11,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.61 : 18,498.09 = 8,096.83 : x
  2. Step 2: Convert to fraction form
    13,401.61/18,498.09 = 8,096.83/x
  3. Step 3: Cross multiply
    13,401.61x = 18,498.09 × 8,096.83
  4. Step 4: Simplify right side
    13,401.61x = 149,775,890.05
  5. Step 5: Solve for x
    x = 149,775,890.05/13,401.61
  6. Step 6: Final answer
    x = 11,175.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.