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Finding the Fourth Proportional to 17,534.30, 24,196.96 and 9,576.56

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Solution

The fourth proportional to 17,534.30, 24,196.96 and 9,576.56 is: 13,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.30 : 24,196.96 = 9,576.56 : x
  2. Step 2: Convert to fraction form
    17,534.30/24,196.96 = 9,576.56/x
  3. Step 3: Cross multiply
    17,534.30x = 24,196.96 × 9,576.56
  4. Step 4: Simplify right side
    17,534.30x = 231,723,575.61
  5. Step 5: Solve for x
    x = 231,723,575.61/17,534.30
  6. Step 6: Final answer
    x = 13,215.44

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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.