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Finding the Fourth Proportional to 12,232.20, 18,348.90 and 6,400.20

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Solution

The fourth proportional to 12,232.20, 18,348.90 and 6,400.20 is: 9,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.20 : 18,348.90 = 6,400.20 : x
  2. Step 2: Convert to fraction form
    12,232.20/18,348.90 = 6,400.20/x
  3. Step 3: Cross multiply
    12,232.20x = 18,348.90 × 6,400.20
  4. Step 4: Simplify right side
    12,232.20x = 117,436,629.78
  5. Step 5: Solve for x
    x = 117,436,629.78/12,232.20
  6. Step 6: Final answer
    x = 9,600.61

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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.