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Finding the Fourth Proportional to 15,182.16, 22,757.64 and 5,819.64

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Solution

The fourth proportional to 15,182.16, 22,757.64 and 5,819.64 is: 8,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.16 : 22,757.64 = 5,819.64 : x
  2. Step 2: Convert to fraction form
    15,182.16/22,757.64 = 5,819.64/x
  3. Step 3: Cross multiply
    15,182.16x = 22,757.64 × 5,819.64
  4. Step 4: Simplify right side
    15,182.16x = 132,441,272.05
  5. Step 5: Solve for x
    x = 132,441,272.05/15,182.16
  6. Step 6: Final answer
    x = 8,723.48

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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.