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Finding the Fourth Proportional to 17,751.06, 24,495.54 and 9,791.82

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Solution

The fourth proportional to 17,751.06, 24,495.54 and 9,791.82 is: 13,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.06 : 24,495.54 = 9,791.82 : x
  2. Step 2: Convert to fraction form
    17,751.06/24,495.54 = 9,791.82/x
  3. Step 3: Cross multiply
    17,751.06x = 24,495.54 × 9,791.82
  4. Step 4: Simplify right side
    17,751.06x = 239,855,918.48
  5. Step 5: Solve for x
    x = 239,855,918.48/17,751.06
  6. Step 6: Final answer
    x = 13,512.20

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Why These Related Problems?

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