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Finding the Fourth Proportional to 11,640.45, 16,023.24 and 10,145.78

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Solution

The fourth proportional to 11,640.45, 16,023.24 and 10,145.78 is: 13,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.45 : 16,023.24 = 10,145.78 : x
  2. Step 2: Convert to fraction form
    11,640.45/16,023.24 = 10,145.78/x
  3. Step 3: Cross multiply
    11,640.45x = 16,023.24 × 10,145.78
  4. Step 4: Simplify right side
    11,640.45x = 162,568,187.81
  5. Step 5: Solve for x
    x = 162,568,187.81/11,640.45
  6. Step 6: Final answer
    x = 13,965.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.