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Finding the Fourth Proportional to 18,455.97, 27,688.35 and 5,976

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Solution

The fourth proportional to 18,455.97, 27,688.35 and 5,976 is: 8,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,455.97 : 27,688.35 = 5,976 : x
  2. Step 2: Convert to fraction form
    18,455.97/27,688.35 = 5,976/x
  3. Step 3: Cross multiply
    18,455.97x = 27,688.35 × 5,976
  4. Step 4: Simplify right side
    18,455.97x = 165,465,579.60
  5. Step 5: Solve for x
    x = 165,465,579.60/18,455.97
  6. Step 6: Final answer
    x = 8,965.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.