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Finding the Fourth Proportional to 12,232.70, 18,351.78 and 3,913.21

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Solution

The fourth proportional to 12,232.70, 18,351.78 and 3,913.21 is: 5,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.70 : 18,351.78 = 3,913.21 : x
  2. Step 2: Convert to fraction form
    12,232.70/18,351.78 = 3,913.21/x
  3. Step 3: Cross multiply
    12,232.70x = 18,351.78 × 3,913.21
  4. Step 4: Simplify right side
    12,232.70x = 71,814,382.78
  5. Step 5: Solve for x
    x = 71,814,382.78/12,232.70
  6. Step 6: Final answer
    x = 5,870.69

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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.