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Finding the Fourth Proportional to 17,662.20, 24,373.96 and 9,704.60

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Solution

The fourth proportional to 17,662.20, 24,373.96 and 9,704.60 is: 13,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.20 : 24,373.96 = 9,704.60 : x
  2. Step 2: Convert to fraction form
    17,662.20/24,373.96 = 9,704.60/x
  3. Step 3: Cross multiply
    17,662.20x = 24,373.96 × 9,704.60
  4. Step 4: Simplify right side
    17,662.20x = 236,539,532.22
  5. Step 5: Solve for x
    x = 236,539,532.22/17,662.20
  6. Step 6: Final answer
    x = 13,392.42

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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.