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Finding the Fourth Proportional to 13,433.97, 20,150.96 and 10,319.55

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Solution

The fourth proportional to 13,433.97, 20,150.96 and 10,319.55 is: 15,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.97 : 20,150.96 = 10,319.55 : x
  2. Step 2: Convert to fraction form
    13,433.97/20,150.96 = 10,319.55/x
  3. Step 3: Cross multiply
    13,433.97x = 20,150.96 × 10,319.55
  4. Step 4: Simplify right side
    13,433.97x = 207,948,883.50
  5. Step 5: Solve for x
    x = 207,948,883.50/13,433.97
  6. Step 6: Final answer
    x = 15,479.33

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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.