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Finding the Fourth Proportional to 12,302.80, 18,457.12 and 3,982.81

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Solution

The fourth proportional to 12,302.80, 18,457.12 and 3,982.81 is: 5,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.80 : 18,457.12 = 3,982.81 : x
  2. Step 2: Convert to fraction form
    12,302.80/18,457.12 = 3,982.81/x
  3. Step 3: Cross multiply
    12,302.80x = 18,457.12 × 3,982.81
  4. Step 4: Simplify right side
    12,302.80x = 73,511,202.11
  5. Step 5: Solve for x
    x = 73,511,202.11/12,302.80
  6. Step 6: Final answer
    x = 5,975.16

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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.