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Finding the Fourth Proportional to 17,533.97, 24,196.25 and 9,576.05

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Solution

The fourth proportional to 17,533.97, 24,196.25 and 9,576.05 is: 13,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.97 : 24,196.25 = 9,576.05 : x
  2. Step 2: Convert to fraction form
    17,533.97/24,196.25 = 9,576.05/x
  3. Step 3: Cross multiply
    17,533.97x = 24,196.25 × 9,576.05
  4. Step 4: Simplify right side
    17,533.97x = 231,704,451.93
  5. Step 5: Solve for x
    x = 231,704,451.93/17,533.97
  6. Step 6: Final answer
    x = 13,214.60

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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.