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Finding the Fourth Proportional to 13,757.25, 20,636.16 and 4,523.25

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Solution

The fourth proportional to 13,757.25, 20,636.16 and 4,523.25 is: 6,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.25 : 20,636.16 = 4,523.25 : x
  2. Step 2: Convert to fraction form
    13,757.25/20,636.16 = 4,523.25/x
  3. Step 3: Cross multiply
    13,757.25x = 20,636.16 × 4,523.25
  4. Step 4: Simplify right side
    13,757.25x = 93,342,510.72
  5. Step 5: Solve for x
    x = 93,342,510.72/13,757.25
  6. Step 6: Final answer
    x = 6,784.97

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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.