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Finding the Fourth Proportional to 17,107.62, 25,661.43 and 6,582.60

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Solution

The fourth proportional to 17,107.62, 25,661.43 and 6,582.60 is: 9,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.62 : 25,661.43 = 6,582.60 : x
  2. Step 2: Convert to fraction form
    17,107.62/25,661.43 = 6,582.60/x
  3. Step 3: Cross multiply
    17,107.62x = 25,661.43 × 6,582.60
  4. Step 4: Simplify right side
    17,107.62x = 168,918,939.31
  5. Step 5: Solve for x
    x = 168,918,939.31/17,107.62
  6. Step 6: Final answer
    x = 9,873.90

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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.