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Finding the Fourth Proportional to 13,405.74, 18,499.91 and 8,099.57

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Solution

The fourth proportional to 13,405.74, 18,499.91 and 8,099.57 is: 11,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.74 : 18,499.91 = 8,099.57 : x
  2. Step 2: Convert to fraction form
    13,405.74/18,499.91 = 8,099.57/x
  3. Step 3: Cross multiply
    13,405.74x = 18,499.91 × 8,099.57
  4. Step 4: Simplify right side
    13,405.74x = 149,841,183.04
  5. Step 5: Solve for x
    x = 149,841,183.04/13,405.74
  6. Step 6: Final answer
    x = 11,177.39

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Why These Related Problems?

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