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Finding the Fourth Proportional to 13,410.94, 18,507.22 and 8,109.30

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Solution

The fourth proportional to 13,410.94, 18,507.22 and 8,109.30 is: 11,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.94 : 18,507.22 = 8,109.30 : x
  2. Step 2: Convert to fraction form
    13,410.94/18,507.22 = 8,109.30/x
  3. Step 3: Cross multiply
    13,410.94x = 18,507.22 × 8,109.30
  4. Step 4: Simplify right side
    13,410.94x = 150,080,599.15
  5. Step 5: Solve for x
    x = 150,080,599.15/13,410.94
  6. Step 6: Final answer
    x = 11,190.91

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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.