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Finding the Fourth Proportional to 17,534.72, 24,197.52 and 9,576.97

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Solution

The fourth proportional to 17,534.72, 24,197.52 and 9,576.97 is: 13,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.72 : 24,197.52 = 9,576.97 : x
  2. Step 2: Convert to fraction form
    17,534.72/24,197.52 = 9,576.97/x
  3. Step 3: Cross multiply
    17,534.72x = 24,197.52 × 9,576.97
  4. Step 4: Simplify right side
    17,534.72x = 231,738,923.11
  5. Step 5: Solve for x
    x = 231,738,923.11/17,534.72
  6. Step 6: Final answer
    x = 13,216.00

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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.