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Finding the Fourth Proportional to 13,694.63, 20,543.14 and 3,833.94

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Solution

The fourth proportional to 13,694.63, 20,543.14 and 3,833.94 is: 5,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.63 : 20,543.14 = 3,833.94 : x
  2. Step 2: Convert to fraction form
    13,694.63/20,543.14 = 3,833.94/x
  3. Step 3: Cross multiply
    13,694.63x = 20,543.14 × 3,833.94
  4. Step 4: Simplify right side
    13,694.63x = 78,761,044.29
  5. Step 5: Solve for x
    x = 78,761,044.29/13,694.63
  6. Step 6: Final answer
    x = 5,751.24

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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.