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Finding the Fourth Proportional to 12,028.91, 18,037.20 and 6,409.78

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Solution

The fourth proportional to 12,028.91, 18,037.20 and 6,409.78 is: 9,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028.91 : 18,037.20 = 6,409.78 : x
  2. Step 2: Convert to fraction form
    12,028.91/18,037.20 = 6,409.78/x
  3. Step 3: Cross multiply
    12,028.91x = 18,037.20 × 6,409.78
  4. Step 4: Simplify right side
    12,028.91x = 115,614,397.78
  5. Step 5: Solve for x
    x = 115,614,397.78/12,028.91
  6. Step 6: Final answer
    x = 9,611.38

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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.