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Finding the Fourth Proportional to 12,992.14, 17,915.04 and 8,270.38

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Solution

The fourth proportional to 12,992.14, 17,915.04 and 8,270.38 is: 11,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.14 : 17,915.04 = 8,270.38 : x
  2. Step 2: Convert to fraction form
    12,992.14/17,915.04 = 8,270.38/x
  3. Step 3: Cross multiply
    12,992.14x = 17,915.04 × 8,270.38
  4. Step 4: Simplify right side
    12,992.14x = 148,164,188.52
  5. Step 5: Solve for x
    x = 148,164,188.52/12,992.14
  6. Step 6: Final answer
    x = 11,404.14

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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.