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Finding the Fourth Proportional to 15,049, 22,573.66 and 4,105

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Solution

The fourth proportional to 15,049, 22,573.66 and 4,105 is: 6,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,049 : 22,573.66 = 4,105 : x
  2. Step 2: Convert to fraction form
    15,049/22,573.66 = 4,105/x
  3. Step 3: Cross multiply
    15,049x = 22,573.66 × 4,105
  4. Step 4: Simplify right side
    15,049x = 92,664,874.30
  5. Step 5: Solve for x
    x = 92,664,874.30/15,049
  6. Step 6: Final answer
    x = 6,157.54

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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.