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Finding the Fourth Proportional to 18,230.70, 27,345.24 and 5,082.78

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Solution

The fourth proportional to 18,230.70, 27,345.24 and 5,082.78 is: 7,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230.70 : 27,345.24 = 5,082.78 : x
  2. Step 2: Convert to fraction form
    18,230.70/27,345.24 = 5,082.78/x
  3. Step 3: Cross multiply
    18,230.70x = 27,345.24 × 5,082.78
  4. Step 4: Simplify right side
    18,230.70x = 138,989,838.97
  5. Step 5: Solve for x
    x = 138,989,838.97/18,230.70
  6. Step 6: Final answer
    x = 7,623.94

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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.