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Finding the Fourth Proportional to 12,327.72, 18,489.84 and 4,007.85

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Solution

The fourth proportional to 12,327.72, 18,489.84 and 4,007.85 is: 6,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.72 : 18,489.84 = 4,007.85 : x
  2. Step 2: Convert to fraction form
    12,327.72/18,489.84 = 4,007.85/x
  3. Step 3: Cross multiply
    12,327.72x = 18,489.84 × 4,007.85
  4. Step 4: Simplify right side
    12,327.72x = 74,104,505.24
  5. Step 5: Solve for x
    x = 74,104,505.24/12,327.72
  6. Step 6: Final answer
    x = 6,011.21

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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.