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Finding the Fourth Proportional to 13,435.05, 18,542.30 and 8,057.78

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Solution

The fourth proportional to 13,435.05, 18,542.30 and 8,057.78 is: 11,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.05 : 18,542.30 = 8,057.78 : x
  2. Step 2: Convert to fraction form
    13,435.05/18,542.30 = 8,057.78/x
  3. Step 3: Cross multiply
    13,435.05x = 18,542.30 × 8,057.78
  4. Step 4: Simplify right side
    13,435.05x = 149,409,641.09
  5. Step 5: Solve for x
    x = 149,409,641.09/13,435.05
  6. Step 6: Final answer
    x = 11,120.88

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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.