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Finding the Fourth Proportional to 13,706.38, 18,915.15 and 8,404.12

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Solution

The fourth proportional to 13,706.38, 18,915.15 and 8,404.12 is: 11,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.38 : 18,915.15 = 8,404.12 : x
  2. Step 2: Convert to fraction form
    13,706.38/18,915.15 = 8,404.12/x
  3. Step 3: Cross multiply
    13,706.38x = 18,915.15 × 8,404.12
  4. Step 4: Simplify right side
    13,706.38x = 158,965,190.42
  5. Step 5: Solve for x
    x = 158,965,190.42/13,706.38
  6. Step 6: Final answer
    x = 11,597.90

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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.