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Finding the Fourth Proportional to 17,380.20, 23,984.04 and 9,422.28

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Solution

The fourth proportional to 17,380.20, 23,984.04 and 9,422.28 is: 13,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.20 : 23,984.04 = 9,422.28 : x
  2. Step 2: Convert to fraction form
    17,380.20/23,984.04 = 9,422.28/x
  3. Step 3: Cross multiply
    17,380.20x = 23,984.04 × 9,422.28
  4. Step 4: Simplify right side
    17,380.20x = 225,984,340.41
  5. Step 5: Solve for x
    x = 225,984,340.41/17,380.20
  6. Step 6: Final answer
    x = 13,002.40

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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.