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Finding the Fourth Proportional to 11,493.50, 17,226.36 and 8,156.52

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Solution

The fourth proportional to 11,493.50, 17,226.36 and 8,156.52 is: 12,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.50 : 17,226.36 = 8,156.52 : x
  2. Step 2: Convert to fraction form
    11,493.50/17,226.36 = 8,156.52/x
  3. Step 3: Cross multiply
    11,493.50x = 17,226.36 × 8,156.52
  4. Step 4: Simplify right side
    11,493.50x = 140,507,149.87
  5. Step 5: Solve for x
    x = 140,507,149.87/11,493.50
  6. Step 6: Final answer
    x = 12,224.93

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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.