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Finding the Fourth Proportional to 17,034.38, 23,507.24 and 9,480.68

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Solution

The fourth proportional to 17,034.38, 23,507.24 and 9,480.68 is: 13,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,034.38 : 23,507.24 = 9,480.68 : x
  2. Step 2: Convert to fraction form
    17,034.38/23,507.24 = 9,480.68/x
  3. Step 3: Cross multiply
    17,034.38x = 23,507.24 × 9,480.68
  4. Step 4: Simplify right side
    17,034.38x = 222,864,620.12
  5. Step 5: Solve for x
    x = 222,864,620.12/17,034.38
  6. Step 6: Final answer
    x = 13,083.22

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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.