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Finding the Fourth Proportional to 17,418.09, 24,036.71 and 9,761.25

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Solution

The fourth proportional to 17,418.09, 24,036.71 and 9,761.25 is: 13,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,418.09 : 24,036.71 = 9,761.25 : x
  2. Step 2: Convert to fraction form
    17,418.09/24,036.71 = 9,761.25/x
  3. Step 3: Cross multiply
    17,418.09x = 24,036.71 × 9,761.25
  4. Step 4: Simplify right side
    17,418.09x = 234,628,286.68
  5. Step 5: Solve for x
    x = 234,628,286.68/17,418.09
  6. Step 6: Final answer
    x = 13,470.38

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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.