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Finding the Fourth Proportional to 17,286.80, 23,851.56 and 9,731.60

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Solution

The fourth proportional to 17,286.80, 23,851.56 and 9,731.60 is: 13,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.80 : 23,851.56 = 9,731.60 : x
  2. Step 2: Convert to fraction form
    17,286.80/23,851.56 = 9,731.60/x
  3. Step 3: Cross multiply
    17,286.80x = 23,851.56 × 9,731.60
  4. Step 4: Simplify right side
    17,286.80x = 232,113,841.30
  5. Step 5: Solve for x
    x = 232,113,841.30/17,286.80
  6. Step 6: Final answer
    x = 13,427.23

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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.