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Finding the Fourth Proportional to 12,257.64, 18,380.94 and 3,490.56

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Solution

The fourth proportional to 12,257.64, 18,380.94 and 3,490.56 is: 5,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.64 : 18,380.94 = 3,490.56 : x
  2. Step 2: Convert to fraction form
    12,257.64/18,380.94 = 3,490.56/x
  3. Step 3: Cross multiply
    12,257.64x = 18,380.94 × 3,490.56
  4. Step 4: Simplify right side
    12,257.64x = 64,159,773.93
  5. Step 5: Solve for x
    x = 64,159,773.93/12,257.64
  6. Step 6: Final answer
    x = 5,234.27

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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.