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Finding the Fourth Proportional to 13,947.57, 20,893.56 and 10,207.23

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Solution

The fourth proportional to 13,947.57, 20,893.56 and 10,207.23 is: 15,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.57 : 20,893.56 = 10,207.23 : x
  2. Step 2: Convert to fraction form
    13,947.57/20,893.56 = 10,207.23/x
  3. Step 3: Cross multiply
    13,947.57x = 20,893.56 × 10,207.23
  4. Step 4: Simplify right side
    13,947.57x = 213,265,372.44
  5. Step 5: Solve for x
    x = 213,265,372.44/13,947.57
  6. Step 6: Final answer
    x = 15,290.50

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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.