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Finding the Fourth Proportional to 17,533.62, 24,196.86 and 9,576.27

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Solution

The fourth proportional to 17,533.62, 24,196.86 and 9,576.27 is: 13,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.62 : 24,196.86 = 9,576.27 : x
  2. Step 2: Convert to fraction form
    17,533.62/24,196.86 = 9,576.27/x
  3. Step 3: Cross multiply
    17,533.62x = 24,196.86 × 9,576.27
  4. Step 4: Simplify right side
    17,533.62x = 231,715,664.51
  5. Step 5: Solve for x
    x = 231,715,664.51/17,533.62
  6. Step 6: Final answer
    x = 13,215.51

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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.