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Finding the Fourth Proportional to 17,749.65, 24,494.70 and 9,791.80

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Solution

The fourth proportional to 17,749.65, 24,494.70 and 9,791.80 is: 13,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749.65 : 24,494.70 = 9,791.80 : x
  2. Step 2: Convert to fraction form
    17,749.65/24,494.70 = 9,791.80/x
  3. Step 3: Cross multiply
    17,749.65x = 24,494.70 × 9,791.80
  4. Step 4: Simplify right side
    17,749.65x = 239,847,203.46
  5. Step 5: Solve for x
    x = 239,847,203.46/17,749.65
  6. Step 6: Final answer
    x = 13,512.78

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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.