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Finding the Fourth Proportional to 17,954, 24,776.02 and 9,996.22

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Solution

The fourth proportional to 17,954, 24,776.02 and 9,996.22 is: 13,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954 : 24,776.02 = 9,996.22 : x
  2. Step 2: Convert to fraction form
    17,954/24,776.02 = 9,996.22/x
  3. Step 3: Cross multiply
    17,954x = 24,776.02 × 9,996.22
  4. Step 4: Simplify right side
    17,954x = 247,666,546.64
  5. Step 5: Solve for x
    x = 247,666,546.64/17,954
  6. Step 6: Final answer
    x = 13,794.51

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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.