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Finding the Fourth Proportional to 17,536.32, 24,200.65 and 9,578.68

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Solution

The fourth proportional to 17,536.32, 24,200.65 and 9,578.68 is: 13,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.32 : 24,200.65 = 9,578.68 : x
  2. Step 2: Convert to fraction form
    17,536.32/24,200.65 = 9,578.68/x
  3. Step 3: Cross multiply
    17,536.32x = 24,200.65 × 9,578.68
  4. Step 4: Simplify right side
    17,536.32x = 231,810,282.14
  5. Step 5: Solve for x
    x = 231,810,282.14/17,536.32
  6. Step 6: Final answer
    x = 13,218.87

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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.