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Finding the Fourth Proportional to 12,884.62, 17,816.57 and 10,227.42

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Solution

The fourth proportional to 12,884.62, 17,816.57 and 10,227.42 is: 14,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.62 : 17,816.57 = 10,227.42 : x
  2. Step 2: Convert to fraction form
    12,884.62/17,816.57 = 10,227.42/x
  3. Step 3: Cross multiply
    12,884.62x = 17,816.57 × 10,227.42
  4. Step 4: Simplify right side
    12,884.62x = 182,217,544.35
  5. Step 5: Solve for x
    x = 182,217,544.35/12,884.62
  6. Step 6: Final answer
    x = 14,142.25

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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.