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Finding the Fourth Proportional to 21,960, 30,306.42 and 13,578.12

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Solution

The fourth proportional to 21,960, 30,306.42 and 13,578.12 is: 18,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,960 : 30,306.42 = 13,578.12 : x
  2. Step 2: Convert to fraction form
    21,960/30,306.42 = 13,578.12/x
  3. Step 3: Cross multiply
    21,960x = 30,306.42 × 13,578.12
  4. Step 4: Simplify right side
    21,960x = 411,504,207.53
  5. Step 5: Solve for x
    x = 411,504,207.53/21,960
  6. Step 6: Final answer
    x = 18,738.81

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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.