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Finding the Fourth Proportional to 12,145.75, 18,219.78 and 3,380.74

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Solution

The fourth proportional to 12,145.75, 18,219.78 and 3,380.74 is: 5,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.75 : 18,219.78 = 3,380.74 : x
  2. Step 2: Convert to fraction form
    12,145.75/18,219.78 = 3,380.74/x
  3. Step 3: Cross multiply
    12,145.75x = 18,219.78 × 3,380.74
  4. Step 4: Simplify right side
    12,145.75x = 61,596,293.49
  5. Step 5: Solve for x
    x = 61,596,293.49/12,145.75
  6. Step 6: Final answer
    x = 5,071.43

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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.