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Finding the Fourth Proportional to 18,285.38, 27,428.19 and 5,138

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Solution

The fourth proportional to 18,285.38, 27,428.19 and 5,138 is: 7,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.38 : 27,428.19 = 5,138 : x
  2. Step 2: Convert to fraction form
    18,285.38/27,428.19 = 5,138/x
  3. Step 3: Cross multiply
    18,285.38x = 27,428.19 × 5,138
  4. Step 4: Simplify right side
    18,285.38x = 140,926,040.22
  5. Step 5: Solve for x
    x = 140,926,040.22/18,285.38
  6. Step 6: Final answer
    x = 7,707.03

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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.