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Finding the Fourth Proportional to 17,797.09, 24,560.49 and 9,839.82

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Solution

The fourth proportional to 17,797.09, 24,560.49 and 9,839.82 is: 13,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.09 : 24,560.49 = 9,839.82 : x
  2. Step 2: Convert to fraction form
    17,797.09/24,560.49 = 9,839.82/x
  3. Step 3: Cross multiply
    17,797.09x = 24,560.49 × 9,839.82
  4. Step 4: Simplify right side
    17,797.09x = 241,670,862.11
  5. Step 5: Solve for x
    x = 241,670,862.11/17,797.09
  6. Step 6: Final answer
    x = 13,579.24

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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.