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Finding the Fourth Proportional to 12,119.25, 18,178.88 and 3,234.61

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Solution

The fourth proportional to 12,119.25, 18,178.88 and 3,234.61 is: 4,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.25 : 18,178.88 = 3,234.61 : x
  2. Step 2: Convert to fraction form
    12,119.25/18,178.88 = 3,234.61/x
  3. Step 3: Cross multiply
    12,119.25x = 18,178.88 × 3,234.61
  4. Step 4: Simplify right side
    12,119.25x = 58,801,587.04
  5. Step 5: Solve for x
    x = 58,801,587.04/12,119.25
  6. Step 6: Final answer
    x = 4,851.92

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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.