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Finding the Fourth Proportional to 17,121.57, 25,684.41 and 6,589.14

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Solution

The fourth proportional to 17,121.57, 25,684.41 and 6,589.14 is: 9,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,121.57 : 25,684.41 = 6,589.14 : x
  2. Step 2: Convert to fraction form
    17,121.57/25,684.41 = 6,589.14/x
  3. Step 3: Cross multiply
    17,121.57x = 25,684.41 × 6,589.14
  4. Step 4: Simplify right side
    17,121.57x = 169,238,173.31
  5. Step 5: Solve for x
    x = 169,238,173.31/17,121.57
  6. Step 6: Final answer
    x = 9,884.50

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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.