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Finding the Fourth Proportional to 17,536.08, 24,200.12 and 9,578.64

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Solution

The fourth proportional to 17,536.08, 24,200.12 and 9,578.64 is: 13,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.08 : 24,200.12 = 9,578.64 : x
  2. Step 2: Convert to fraction form
    17,536.08/24,200.12 = 9,578.64/x
  3. Step 3: Cross multiply
    17,536.08x = 24,200.12 × 9,578.64
  4. Step 4: Simplify right side
    17,536.08x = 231,804,237.44
  5. Step 5: Solve for x
    x = 231,804,237.44/17,536.08
  6. Step 6: Final answer
    x = 13,218.70

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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.