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Finding the Fourth Proportional to 17,919, 24,727.05 and 9,960.93

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Solution

The fourth proportional to 17,919, 24,727.05 and 9,960.93 is: 13,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919 : 24,727.05 = 9,960.93 : x
  2. Step 2: Convert to fraction form
    17,919/24,727.05 = 9,960.93/x
  3. Step 3: Cross multiply
    17,919x = 24,727.05 × 9,960.93
  4. Step 4: Simplify right side
    17,919x = 246,304,414.16
  5. Step 5: Solve for x
    x = 246,304,414.16/17,919
  6. Step 6: Final answer
    x = 13,745.43

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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.