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Finding the Fourth Proportional to 12,165.13, 18,247.70 and 9,395.84

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Solution

The fourth proportional to 12,165.13, 18,247.70 and 9,395.84 is: 14,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.13 : 18,247.70 = 9,395.84 : x
  2. Step 2: Convert to fraction form
    12,165.13/18,247.70 = 9,395.84/x
  3. Step 3: Cross multiply
    12,165.13x = 18,247.70 × 9,395.84
  4. Step 4: Simplify right side
    12,165.13x = 171,452,469.57
  5. Step 5: Solve for x
    x = 171,452,469.57/12,165.13
  6. Step 6: Final answer
    x = 14,093.76

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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.