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Finding the Fourth Proportional to 17,380.38, 23,984.77 and 9,422.40

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Solution

The fourth proportional to 17,380.38, 23,984.77 and 9,422.40 is: 13,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.38 : 23,984.77 = 9,422.40 : x
  2. Step 2: Convert to fraction form
    17,380.38/23,984.77 = 9,422.40/x
  3. Step 3: Cross multiply
    17,380.38x = 23,984.77 × 9,422.40
  4. Step 4: Simplify right side
    17,380.38x = 225,994,096.85
  5. Step 5: Solve for x
    x = 225,994,096.85/17,380.38
  6. Step 6: Final answer
    x = 13,002.83

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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.