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Finding the Fourth Proportional to 17,599.25, 24,286.97 and 10,147.25

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Solution

The fourth proportional to 17,599.25, 24,286.97 and 10,147.25 is: 14,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,599.25 : 24,286.97 = 10,147.25 : x
  2. Step 2: Convert to fraction form
    17,599.25/24,286.97 = 10,147.25/x
  3. Step 3: Cross multiply
    17,599.25x = 24,286.97 × 10,147.25
  4. Step 4: Simplify right side
    17,599.25x = 246,445,956.33
  5. Step 5: Solve for x
    x = 246,445,956.33/17,599.25
  6. Step 6: Final answer
    x = 14,003.21

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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.