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Finding the Fourth Proportional to 12,314.94, 18,475.00 and 3,994.30

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Solution

The fourth proportional to 12,314.94, 18,475.00 and 3,994.30 is: 5,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.94 : 18,475.00 = 3,994.30 : x
  2. Step 2: Convert to fraction form
    12,314.94/18,475.00 = 3,994.30/x
  3. Step 3: Cross multiply
    12,314.94x = 18,475.00 × 3,994.30
  4. Step 4: Simplify right side
    12,314.94x = 73,794,672.53
  5. Step 5: Solve for x
    x = 73,794,672.53/12,314.94
  6. Step 6: Final answer
    x = 5,992.29

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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.