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Finding the Fourth Proportional to 13,099.82, 18,078.18 and 7,434.81

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Solution

The fourth proportional to 13,099.82, 18,078.18 and 7,434.81 is: 10,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.82 : 18,078.18 = 7,434.81 : x
  2. Step 2: Convert to fraction form
    13,099.82/18,078.18 = 7,434.81/x
  3. Step 3: Cross multiply
    13,099.82x = 18,078.18 × 7,434.81
  4. Step 4: Simplify right side
    13,099.82x = 134,407,833.45
  5. Step 5: Solve for x
    x = 134,407,833.45/13,099.82
  6. Step 6: Final answer
    x = 10,260.28

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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.