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Finding the Fourth Proportional to 13,504, 20,243.68 and 4,734.12

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Solution

The fourth proportional to 13,504, 20,243.68 and 4,734.12 is: 7,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504 : 20,243.68 = 4,734.12 : x
  2. Step 2: Convert to fraction form
    13,504/20,243.68 = 4,734.12/x
  3. Step 3: Cross multiply
    13,504x = 20,243.68 × 4,734.12
  4. Step 4: Simplify right side
    13,504x = 95,836,010.36
  5. Step 5: Solve for x
    x = 95,836,010.36/13,504
  6. Step 6: Final answer
    x = 7,096.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.