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Finding the Fourth Proportional to 12,149.57, 18,224.36 and 9,380.28

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Solution

The fourth proportional to 12,149.57, 18,224.36 and 9,380.28 is: 14,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.57 : 18,224.36 = 9,380.28 : x
  2. Step 2: Convert to fraction form
    12,149.57/18,224.36 = 9,380.28/x
  3. Step 3: Cross multiply
    12,149.57x = 18,224.36 × 9,380.28
  4. Step 4: Simplify right side
    12,149.57x = 170,949,599.62
  5. Step 5: Solve for x
    x = 170,949,599.62/12,149.57
  6. Step 6: Final answer
    x = 14,070.42

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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.