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Finding the Fourth Proportional to 17,533.99, 24,197 and 9,576.22

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Solution

The fourth proportional to 17,533.99, 24,197 and 9,576.22 is: 13,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.99 : 24,197 = 9,576.22 : x
  2. Step 2: Convert to fraction form
    17,533.99/24,197 = 9,576.22/x
  3. Step 3: Cross multiply
    17,533.99x = 24,197 × 9,576.22
  4. Step 4: Simplify right side
    17,533.99x = 231,715,795.34
  5. Step 5: Solve for x
    x = 231,715,795.34/17,533.99
  6. Step 6: Final answer
    x = 13,215.23

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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.