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Finding the Fourth Proportional to 15,212.56, 22,819.48 and 4,824.08

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Solution

The fourth proportional to 15,212.56, 22,819.48 and 4,824.08 is: 7,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212.56 : 22,819.48 = 4,824.08 : x
  2. Step 2: Convert to fraction form
    15,212.56/22,819.48 = 4,824.08/x
  3. Step 3: Cross multiply
    15,212.56x = 22,819.48 × 4,824.08
  4. Step 4: Simplify right side
    15,212.56x = 110,082,997.08
  5. Step 5: Solve for x
    x = 110,082,997.08/15,212.56
  6. Step 6: Final answer
    x = 7,236.32

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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.