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Finding the Fourth Proportional to 17,096.42, 23,592.98 and 9,542.66

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Solution

The fourth proportional to 17,096.42, 23,592.98 and 9,542.66 is: 13,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.42 : 23,592.98 = 9,542.66 : x
  2. Step 2: Convert to fraction form
    17,096.42/23,592.98 = 9,542.66/x
  3. Step 3: Cross multiply
    17,096.42x = 23,592.98 × 9,542.66
  4. Step 4: Simplify right side
    17,096.42x = 225,139,620.85
  5. Step 5: Solve for x
    x = 225,139,620.85/17,096.42
  6. Step 6: Final answer
    x = 13,168.82

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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.