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Finding the Fourth Proportional to 13,474.00, 20,206.07 and 5,149.90

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Solution

The fourth proportional to 13,474.00, 20,206.07 and 5,149.90 is: 7,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.00 : 20,206.07 = 5,149.90 : x
  2. Step 2: Convert to fraction form
    13,474.00/20,206.07 = 5,149.90/x
  3. Step 3: Cross multiply
    13,474.00x = 20,206.07 × 5,149.90
  4. Step 4: Simplify right side
    13,474.00x = 104,059,113.11
  5. Step 5: Solve for x
    x = 104,059,113.11/13,474.00
  6. Step 6: Final answer
    x = 7,722.96

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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.