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Finding the Fourth Proportional to 13,099.50, 18,077.13 and 7,794.18

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Solution

The fourth proportional to 13,099.50, 18,077.13 and 7,794.18 is: 10,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.50 : 18,077.13 = 7,794.18 : x
  2. Step 2: Convert to fraction form
    13,099.50/18,077.13 = 7,794.18/x
  3. Step 3: Cross multiply
    13,099.50x = 18,077.13 × 7,794.18
  4. Step 4: Simplify right side
    13,099.50x = 140,896,405.10
  5. Step 5: Solve for x
    x = 140,896,405.10/13,099.50
  6. Step 6: Final answer
    x = 10,755.86

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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.