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Finding the Fourth Proportional to 13,096.83, 18,073.99 and 7,431.82

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Solution

The fourth proportional to 13,096.83, 18,073.99 and 7,431.82 is: 10,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.83 : 18,073.99 = 7,431.82 : x
  2. Step 2: Convert to fraction form
    13,096.83/18,073.99 = 7,431.82/x
  3. Step 3: Cross multiply
    13,096.83x = 18,073.99 × 7,431.82
  4. Step 4: Simplify right side
    13,096.83x = 134,322,640.36
  5. Step 5: Solve for x
    x = 134,322,640.36/13,096.83
  6. Step 6: Final answer
    x = 10,256.12

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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.