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Finding the Fourth Proportional to 12,403.24, 18,604.38 and 4,195.24

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Solution

The fourth proportional to 12,403.24, 18,604.38 and 4,195.24 is: 6,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.24 : 18,604.38 = 4,195.24 : x
  2. Step 2: Convert to fraction form
    12,403.24/18,604.38 = 4,195.24/x
  3. Step 3: Cross multiply
    12,403.24x = 18,604.38 × 4,195.24
  4. Step 4: Simplify right side
    12,403.24x = 78,049,839.15
  5. Step 5: Solve for x
    x = 78,049,839.15/12,403.24
  6. Step 6: Final answer
    x = 6,292.70

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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.