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Finding the Fourth Proportional to 17,644.56, 26,442.36 and 7,769.04

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Solution

The fourth proportional to 17,644.56, 26,442.36 and 7,769.04 is: 11,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.56 : 26,442.36 = 7,769.04 : x
  2. Step 2: Convert to fraction form
    17,644.56/26,442.36 = 7,769.04/x
  3. Step 3: Cross multiply
    17,644.56x = 26,442.36 × 7,769.04
  4. Step 4: Simplify right side
    17,644.56x = 205,431,752.53
  5. Step 5: Solve for x
    x = 205,431,752.53/17,644.56
  6. Step 6: Final answer
    x = 11,642.78

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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.