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Finding the Fourth Proportional to 17,201.68, 25,783.84 and 7,212.88

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Solution

The fourth proportional to 17,201.68, 25,783.84 and 7,212.88 is: 10,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.68 : 25,783.84 = 7,212.88 : x
  2. Step 2: Convert to fraction form
    17,201.68/25,783.84 = 7,212.88/x
  3. Step 3: Cross multiply
    17,201.68x = 25,783.84 × 7,212.88
  4. Step 4: Simplify right side
    17,201.68x = 185,975,743.86
  5. Step 5: Solve for x
    x = 185,975,743.86/17,201.68
  6. Step 6: Final answer
    x = 10,811.49

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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.