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Finding the Fourth Proportional to 13,174.20, 19,739.70 and 11,230.20

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Solution

The fourth proportional to 13,174.20, 19,739.70 and 11,230.20 is: 16,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.20 : 19,739.70 = 11,230.20 : x
  2. Step 2: Convert to fraction form
    13,174.20/19,739.70 = 11,230.20/x
  3. Step 3: Cross multiply
    13,174.20x = 19,739.70 × 11,230.20
  4. Step 4: Simplify right side
    13,174.20x = 221,680,778.94
  5. Step 5: Solve for x
    x = 221,680,778.94/13,174.20
  6. Step 6: Final answer
    x = 16,826.89

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1.5x scale

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.