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Finding the Fourth Proportional to 17,662.62, 24,374.07 and 9,704.64

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Solution

The fourth proportional to 17,662.62, 24,374.07 and 9,704.64 is: 13,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.62 : 24,374.07 = 9,704.64 : x
  2. Step 2: Convert to fraction form
    17,662.62/24,374.07 = 9,704.64/x
  3. Step 3: Cross multiply
    17,662.62x = 24,374.07 × 9,704.64
  4. Step 4: Simplify right side
    17,662.62x = 236,541,574.68
  5. Step 5: Solve for x
    x = 236,541,574.68/17,662.62
  6. Step 6: Final answer
    x = 13,392.21

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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.