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Finding the Fourth Proportional to 12,119.88, 18,178.86 and 3,354.96

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Solution

The fourth proportional to 12,119.88, 18,178.86 and 3,354.96 is: 5,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.88 : 18,178.86 = 3,354.96 : x
  2. Step 2: Convert to fraction form
    12,119.88/18,178.86 = 3,354.96/x
  3. Step 3: Cross multiply
    12,119.88x = 18,178.86 × 3,354.96
  4. Step 4: Simplify right side
    12,119.88x = 60,989,348.15
  5. Step 5: Solve for x
    x = 60,989,348.15/12,119.88
  6. Step 6: Final answer
    x = 5,032.17

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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.