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Finding the Fourth Proportional to 17,764.33, 24,514.78 and 9,806.56

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Solution

The fourth proportional to 17,764.33, 24,514.78 and 9,806.56 is: 13,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.33 : 24,514.78 = 9,806.56 : x
  2. Step 2: Convert to fraction form
    17,764.33/24,514.78 = 9,806.56/x
  3. Step 3: Cross multiply
    17,764.33x = 24,514.78 × 9,806.56
  4. Step 4: Simplify right side
    17,764.33x = 240,405,660.96
  5. Step 5: Solve for x
    x = 240,405,660.96/17,764.33
  6. Step 6: Final answer
    x = 13,533.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.