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Finding the Fourth Proportional to 12,305.66, 18,457.82 and 3,540.22

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Solution

The fourth proportional to 12,305.66, 18,457.82 and 3,540.22 is: 5,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.66 : 18,457.82 = 3,540.22 : x
  2. Step 2: Convert to fraction form
    12,305.66/18,457.82 = 3,540.22/x
  3. Step 3: Cross multiply
    12,305.66x = 18,457.82 × 3,540.22
  4. Step 4: Simplify right side
    12,305.66x = 65,344,743.52
  5. Step 5: Solve for x
    x = 65,344,743.52/12,305.66
  6. Step 6: Final answer
    x = 5,310.14

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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.