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Finding the Fourth Proportional to 17,120.68, 23,627.04 and 9,566.78

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Solution

The fourth proportional to 17,120.68, 23,627.04 and 9,566.78 is: 13,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120.68 : 23,627.04 = 9,566.78 : x
  2. Step 2: Convert to fraction form
    17,120.68/23,627.04 = 9,566.78/x
  3. Step 3: Cross multiply
    17,120.68x = 23,627.04 × 9,566.78
  4. Step 4: Simplify right side
    17,120.68x = 226,034,693.73
  5. Step 5: Solve for x
    x = 226,034,693.73/17,120.68
  6. Step 6: Final answer
    x = 13,202.44

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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.