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Finding the Fourth Proportional to 13,640.43, 20,460.65 and 11,785.94

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Solution

The fourth proportional to 13,640.43, 20,460.65 and 11,785.94 is: 17,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.43 : 20,460.65 = 11,785.94 : x
  2. Step 2: Convert to fraction form
    13,640.43/20,460.65 = 11,785.94/x
  3. Step 3: Cross multiply
    13,640.43x = 20,460.65 × 11,785.94
  4. Step 4: Simplify right side
    13,640.43x = 241,147,832.03
  5. Step 5: Solve for x
    x = 241,147,832.03/13,640.43
  6. Step 6: Final answer
    x = 17,678.90

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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.