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Finding the Fourth Proportional to 27,647.37, 41,471.33 and 6,870.87

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Solution

The fourth proportional to 27,647.37, 41,471.33 and 6,870.87 is: 10,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.37 : 41,471.33 = 6,870.87 : x
  2. Step 2: Convert to fraction form
    27,647.37/41,471.33 = 6,870.87/x
  3. Step 3: Cross multiply
    27,647.37x = 41,471.33 × 6,870.87
  4. Step 4: Simplify right side
    27,647.37x = 284,944,082.80
  5. Step 5: Solve for x
    x = 284,944,082.80/27,647.37
  6. Step 6: Final answer
    x = 10,306.37

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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.