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Finding the Fourth Proportional to 13,915.98, 20,874 and 3,528.54

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Solution

The fourth proportional to 13,915.98, 20,874 and 3,528.54 is: 5,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.98 : 20,874 = 3,528.54 : x
  2. Step 2: Convert to fraction form
    13,915.98/20,874 = 3,528.54/x
  3. Step 3: Cross multiply
    13,915.98x = 20,874 × 3,528.54
  4. Step 4: Simplify right side
    13,915.98x = 73,654,743.96
  5. Step 5: Solve for x
    x = 73,654,743.96/13,915.98
  6. Step 6: Final answer
    x = 5,292.82

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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.