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Finding the Fourth Proportional to 14,608.38, 21,918.09 and 8,769.06

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Solution

The fourth proportional to 14,608.38, 21,918.09 and 8,769.06 is: 13,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.38 : 21,918.09 = 8,769.06 : x
  2. Step 2: Convert to fraction form
    14,608.38/21,918.09 = 8,769.06/x
  3. Step 3: Cross multiply
    14,608.38x = 21,918.09 × 8,769.06
  4. Step 4: Simplify right side
    14,608.38x = 192,201,046.30
  5. Step 5: Solve for x
    x = 192,201,046.30/14,608.38
  6. Step 6: Final answer
    x = 13,156.90

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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.