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Finding the Fourth Proportional to 12,119.90, 18,178.02 and 4,223.61

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Solution

The fourth proportional to 12,119.90, 18,178.02 and 4,223.61 is: 6,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.90 : 18,178.02 = 4,223.61 : x
  2. Step 2: Convert to fraction form
    12,119.90/18,178.02 = 4,223.61/x
  3. Step 3: Cross multiply
    12,119.90x = 18,178.02 × 4,223.61
  4. Step 4: Simplify right side
    12,119.90x = 76,776,867.05
  5. Step 5: Solve for x
    x = 76,776,867.05/12,119.90
  6. Step 6: Final answer
    x = 6,334.78

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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.