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Finding the Fourth Proportional to 13,380.41, 18,465.09 and 8,074.20

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Solution

The fourth proportional to 13,380.41, 18,465.09 and 8,074.20 is: 11,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.41 : 18,465.09 = 8,074.20 : x
  2. Step 2: Convert to fraction form
    13,380.41/18,465.09 = 8,074.20/x
  3. Step 3: Cross multiply
    13,380.41x = 18,465.09 × 8,074.20
  4. Step 4: Simplify right side
    13,380.41x = 149,090,829.68
  5. Step 5: Solve for x
    x = 149,090,829.68/13,380.41
  6. Step 6: Final answer
    x = 11,142.47

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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.