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Finding the Fourth Proportional to 15,493.50, 23,231.01 and 6,134.86

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Solution

The fourth proportional to 15,493.50, 23,231.01 and 6,134.86 is: 9,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.50 : 23,231.01 = 6,134.86 : x
  2. Step 2: Convert to fraction form
    15,493.50/23,231.01 = 6,134.86/x
  3. Step 3: Cross multiply
    15,493.50x = 23,231.01 × 6,134.86
  4. Step 4: Simplify right side
    15,493.50x = 142,519,000.04
  5. Step 5: Solve for x
    x = 142,519,000.04/15,493.50
  6. Step 6: Final answer
    x = 9,198.63

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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.