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Finding the Fourth Proportional to 15,209.44, 22,795.33 and 8,615.64

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Solution

The fourth proportional to 15,209.44, 22,795.33 and 8,615.64 is: 12,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.44 : 22,795.33 = 8,615.64 : x
  2. Step 2: Convert to fraction form
    15,209.44/22,795.33 = 8,615.64/x
  3. Step 3: Cross multiply
    15,209.44x = 22,795.33 × 8,615.64
  4. Step 4: Simplify right side
    15,209.44x = 196,396,199.91
  5. Step 5: Solve for x
    x = 196,396,199.91/15,209.44
  6. Step 6: Final answer
    x = 12,912.78

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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.