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Finding the Fourth Proportional to 14,523.20, 21,792 and 5,757.92

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Solution

The fourth proportional to 14,523.20, 21,792 and 5,757.92 is: 8,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.20 : 21,792 = 5,757.92 : x
  2. Step 2: Convert to fraction form
    14,523.20/21,792 = 5,757.92/x
  3. Step 3: Cross multiply
    14,523.20x = 21,792 × 5,757.92
  4. Step 4: Simplify right side
    14,523.20x = 125,476,592.64
  5. Step 5: Solve for x
    x = 125,476,592.64/14,523.20
  6. Step 6: Final answer
    x = 8,639.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.