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Finding the Fourth Proportional to 12,204.68, 18,272.43 and 8,032.14

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Solution

The fourth proportional to 12,204.68, 18,272.43 and 8,032.14 is: 12,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.68 : 18,272.43 = 8,032.14 : x
  2. Step 2: Convert to fraction form
    12,204.68/18,272.43 = 8,032.14/x
  3. Step 3: Cross multiply
    12,204.68x = 18,272.43 × 8,032.14
  4. Step 4: Simplify right side
    12,204.68x = 146,766,715.90
  5. Step 5: Solve for x
    x = 146,766,715.90/12,204.68
  6. Step 6: Final answer
    x = 12,025.45

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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.