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Finding the Fourth Proportional to 13,099.85, 18,077.76 and 7,131.56

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Solution

The fourth proportional to 13,099.85, 18,077.76 and 7,131.56 is: 9,841.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.85 : 18,077.76 = 7,131.56 : x
  2. Step 2: Convert to fraction form
    13,099.85/18,077.76 = 7,131.56/x
  3. Step 3: Cross multiply
    13,099.85x = 18,077.76 × 7,131.56
  4. Step 4: Simplify right side
    13,099.85x = 128,922,504.06
  5. Step 5: Solve for x
    x = 128,922,504.06/13,099.85
  6. Step 6: Final answer
    x = 9,841.53

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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.