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Finding the Fourth Proportional to 17,716.22, 24,448.38 and 9,758.42

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Solution

The fourth proportional to 17,716.22, 24,448.38 and 9,758.42 is: 13,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.22 : 24,448.38 = 9,758.42 : x
  2. Step 2: Convert to fraction form
    17,716.22/24,448.38 = 9,758.42/x
  3. Step 3: Cross multiply
    17,716.22x = 24,448.38 × 9,758.42
  4. Step 4: Simplify right side
    17,716.22x = 238,577,685.62
  5. Step 5: Solve for x
    x = 238,577,685.62/17,716.22
  6. Step 6: Final answer
    x = 13,466.63

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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.