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Finding the Fourth Proportional to 12,204.86, 18,307.85 and 5,183.87

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Solution

The fourth proportional to 12,204.86, 18,307.85 and 5,183.87 is: 7,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.86 : 18,307.85 = 5,183.87 : x
  2. Step 2: Convert to fraction form
    12,204.86/18,307.85 = 5,183.87/x
  3. Step 3: Cross multiply
    12,204.86x = 18,307.85 × 5,183.87
  4. Step 4: Simplify right side
    12,204.86x = 94,905,396.92
  5. Step 5: Solve for x
    x = 94,905,396.92/12,204.86
  6. Step 6: Final answer
    x = 7,776.04

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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.