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Finding the Fourth Proportional to 17,536.56, 24,200.06 and 9,578.82

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Solution

The fourth proportional to 17,536.56, 24,200.06 and 9,578.82 is: 13,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.56 : 24,200.06 = 9,578.82 : x
  2. Step 2: Convert to fraction form
    17,536.56/24,200.06 = 9,578.82/x
  3. Step 3: Cross multiply
    17,536.56x = 24,200.06 × 9,578.82
  4. Step 4: Simplify right side
    17,536.56x = 231,807,970.84
  5. Step 5: Solve for x
    x = 231,807,970.84/17,536.56
  6. Step 6: Final answer
    x = 13,218.55

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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.