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Finding the Fourth Proportional to 18,285.46, 27,429.14 and 5,138.84

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Solution

The fourth proportional to 18,285.46, 27,429.14 and 5,138.84 is: 7,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.46 : 27,429.14 = 5,138.84 : x
  2. Step 2: Convert to fraction form
    18,285.46/27,429.14 = 5,138.84/x
  3. Step 3: Cross multiply
    18,285.46x = 27,429.14 × 5,138.84
  4. Step 4: Simplify right side
    18,285.46x = 140,954,043.22
  5. Step 5: Solve for x
    x = 140,954,043.22/18,285.46
  6. Step 6: Final answer
    x = 7,708.53

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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.