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Finding the Fourth Proportional to 17,096, 23,592.52 and 9,644

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Solution

The fourth proportional to 17,096, 23,592.52 and 9,644 is: 13,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096 : 23,592.52 = 9,644 : x
  2. Step 2: Convert to fraction form
    17,096/23,592.52 = 9,644/x
  3. Step 3: Cross multiply
    17,096x = 23,592.52 × 9,644
  4. Step 4: Simplify right side
    17,096x = 227,526,262.88
  5. Step 5: Solve for x
    x = 227,526,262.88/17,096
  6. Step 6: Final answer
    x = 13,308.74

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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.