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Finding the Fourth Proportional to 12,149.58, 18,224.35 and 9,380.29

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Solution

The fourth proportional to 12,149.58, 18,224.35 and 9,380.29 is: 14,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.58 : 18,224.35 = 9,380.29 : x
  2. Step 2: Convert to fraction form
    12,149.58/18,224.35 = 9,380.29/x
  3. Step 3: Cross multiply
    12,149.58x = 18,224.35 × 9,380.29
  4. Step 4: Simplify right side
    12,149.58x = 170,949,688.06
  5. Step 5: Solve for x
    x = 170,949,688.06/12,149.58
  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.