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Finding the Fourth Proportional to 17,200, 25,789.80 and 7,334.24

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Solution

The fourth proportional to 17,200, 25,789.80 and 7,334.24 is: 10,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200 : 25,789.80 = 7,334.24 : x
  2. Step 2: Convert to fraction form
    17,200/25,789.80 = 7,334.24/x
  3. Step 3: Cross multiply
    17,200x = 25,789.80 × 7,334.24
  4. Step 4: Simplify right side
    17,200x = 189,148,582.75
  5. Step 5: Solve for x
    x = 189,148,582.75/17,200
  6. Step 6: Final answer
    x = 10,997.01

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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.