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Finding the Fourth Proportional to 11,930.72, 17,902.38 and 8,670.80

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Solution

The fourth proportional to 11,930.72, 17,902.38 and 8,670.80 is: 13,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.72 : 17,902.38 = 8,670.80 : x
  2. Step 2: Convert to fraction form
    11,930.72/17,902.38 = 8,670.80/x
  3. Step 3: Cross multiply
    11,930.72x = 17,902.38 × 8,670.80
  4. Step 4: Simplify right side
    11,930.72x = 155,227,956.50
  5. Step 5: Solve for x
    x = 155,227,956.50/11,930.72
  6. Step 6: Final answer
    x = 13,010.78

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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.