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Finding the Fourth Proportional to 12,178.76, 18,249.84 and 9,401.24

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Solution

The fourth proportional to 12,178.76, 18,249.84 and 9,401.24 is: 14,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.76 : 18,249.84 = 9,401.24 : x
  2. Step 2: Convert to fraction form
    12,178.76/18,249.84 = 9,401.24/x
  3. Step 3: Cross multiply
    12,178.76x = 18,249.84 × 9,401.24
  4. Step 4: Simplify right side
    12,178.76x = 171,571,125.80
  5. Step 5: Solve for x
    x = 171,571,125.80/12,178.76
  6. Step 6: Final answer
    x = 14,087.73

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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.