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Finding the Fourth Proportional to 13,402.72, 20,097.56 and 4,041

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Solution

The fourth proportional to 13,402.72, 20,097.56 and 4,041 is: 6,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.72 : 20,097.56 = 4,041 : x
  2. Step 2: Convert to fraction form
    13,402.72/20,097.56 = 4,041/x
  3. Step 3: Cross multiply
    13,402.72x = 20,097.56 × 4,041
  4. Step 4: Simplify right side
    13,402.72x = 81,214,250.06
  5. Step 5: Solve for x
    x = 81,214,250.06/13,402.72
  6. Step 6: Final answer
    x = 6,059.54

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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.