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Finding the Fourth Proportional to 12,405.12, 18,605.76 and 3,639.12

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Solution

The fourth proportional to 12,405.12, 18,605.76 and 3,639.12 is: 5,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.12 : 18,605.76 = 3,639.12 : x
  2. Step 2: Convert to fraction form
    12,405.12/18,605.76 = 3,639.12/x
  3. Step 3: Cross multiply
    12,405.12x = 18,605.76 × 3,639.12
  4. Step 4: Simplify right side
    12,405.12x = 67,708,593.33
  5. Step 5: Solve for x
    x = 67,708,593.33/12,405.12
  6. Step 6: Final answer
    x = 5,458.12

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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.