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Finding the Fourth Proportional to 17,600.22, 24,288.57 and 9,642.42

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Solution

The fourth proportional to 17,600.22, 24,288.57 and 9,642.42 is: 13,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.22 : 24,288.57 = 9,642.42 : x
  2. Step 2: Convert to fraction form
    17,600.22/24,288.57 = 9,642.42/x
  3. Step 3: Cross multiply
    17,600.22x = 24,288.57 × 9,642.42
  4. Step 4: Simplify right side
    17,600.22x = 234,200,593.14
  5. Step 5: Solve for x
    x = 234,200,593.14/17,600.22
  6. Step 6: Final answer
    x = 13,306.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.