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Finding the Fourth Proportional to 18,205.80, 27,309.60 and 9,457.80

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Solution

The fourth proportional to 18,205.80, 27,309.60 and 9,457.80 is: 14,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.80 : 27,309.60 = 9,457.80 : x
  2. Step 2: Convert to fraction form
    18,205.80/27,309.60 = 9,457.80/x
  3. Step 3: Cross multiply
    18,205.80x = 27,309.60 × 9,457.80
  4. Step 4: Simplify right side
    18,205.80x = 258,288,734.88
  5. Step 5: Solve for x
    x = 258,288,734.88/18,205.80
  6. Step 6: Final answer
    x = 14,187.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.