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Finding the Fourth Proportional to 17,143.62, 23,658.08 and 9,589.92

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Solution

The fourth proportional to 17,143.62, 23,658.08 and 9,589.92 is: 13,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.62 : 23,658.08 = 9,589.92 : x
  2. Step 2: Convert to fraction form
    17,143.62/23,658.08 = 9,589.92/x
  3. Step 3: Cross multiply
    17,143.62x = 23,658.08 × 9,589.92
  4. Step 4: Simplify right side
    17,143.62x = 226,879,046.60
  5. Step 5: Solve for x
    x = 226,879,046.60/17,143.62
  6. Step 6: Final answer
    x = 13,234.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.