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Finding the Fourth Proportional to 17,076.32, 25,614 and 7,212.92

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Solution

The fourth proportional to 17,076.32, 25,614 and 7,212.92 is: 10,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.32 : 25,614 = 7,212.92 : x
  2. Step 2: Convert to fraction form
    17,076.32/25,614 = 7,212.92/x
  3. Step 3: Cross multiply
    17,076.32x = 25,614 × 7,212.92
  4. Step 4: Simplify right side
    17,076.32x = 184,751,732.88
  5. Step 5: Solve for x
    x = 184,751,732.88/17,076.32
  6. Step 6: Final answer
    x = 10,819.18

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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.