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Finding the Fourth Proportional to 18,278.92, 27,429.72 and 8,419.60

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Solution

The fourth proportional to 18,278.92, 27,429.72 and 8,419.60 is: 12,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278.92 : 27,429.72 = 8,419.60 : x
  2. Step 2: Convert to fraction form
    18,278.92/27,429.72 = 8,419.60/x
  3. Step 3: Cross multiply
    18,278.92x = 27,429.72 × 8,419.60
  4. Step 4: Simplify right side
    18,278.92x = 230,947,270.51
  5. Step 5: Solve for x
    x = 230,947,270.51/18,278.92
  6. Step 6: Final answer
    x = 12,634.62

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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.