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Finding the Fourth Proportional to 17,221.68, 25,843.86 and 9,435.96

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Solution

The fourth proportional to 17,221.68, 25,843.86 and 9,435.96 is: 14,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.68 : 25,843.86 = 9,435.96 : x
  2. Step 2: Convert to fraction form
    17,221.68/25,843.86 = 9,435.96/x
  3. Step 3: Cross multiply
    17,221.68x = 25,843.86 × 9,435.96
  4. Step 4: Simplify right side
    17,221.68x = 243,861,629.21
  5. Step 5: Solve for x
    x = 243,861,629.21/17,221.68
  6. Step 6: Final answer
    x = 14,160.15

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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.