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Finding the Fourth Proportional to 13,842.94, 20,760.58 and 3,845.40

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Solution

The fourth proportional to 13,842.94, 20,760.58 and 3,845.40 is: 5,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.94 : 20,760.58 = 3,845.40 : x
  2. Step 2: Convert to fraction form
    13,842.94/20,760.58 = 3,845.40/x
  3. Step 3: Cross multiply
    13,842.94x = 20,760.58 × 3,845.40
  4. Step 4: Simplify right side
    13,842.94x = 79,832,734.33
  5. Step 5: Solve for x
    x = 79,832,734.33/13,842.94
  6. Step 6: Final answer
    x = 5,767.04

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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.