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Finding the Fourth Proportional to 12,403.53, 18,605.30 and 3,638.48

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Solution

The fourth proportional to 12,403.53, 18,605.30 and 3,638.48 is: 5,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.53 : 18,605.30 = 3,638.48 : x
  2. Step 2: Convert to fraction form
    12,403.53/18,605.30 = 3,638.48/x
  3. Step 3: Cross multiply
    12,403.53x = 18,605.30 × 3,638.48
  4. Step 4: Simplify right side
    12,403.53x = 67,694,900.73
  5. Step 5: Solve for x
    x = 67,694,900.73/12,403.53
  6. Step 6: Final answer
    x = 5,457.71

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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.