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Finding the Fourth Proportional to 12,047.94, 18,082.72 and 10,085.85

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Solution

The fourth proportional to 12,047.94, 18,082.72 and 10,085.85 is: 15,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.94 : 18,082.72 = 10,085.85 : x
  2. Step 2: Convert to fraction form
    12,047.94/18,082.72 = 10,085.85/x
  3. Step 3: Cross multiply
    12,047.94x = 18,082.72 × 10,085.85
  4. Step 4: Simplify right side
    12,047.94x = 182,379,596.29
  5. Step 5: Solve for x
    x = 182,379,596.29/12,047.94
  6. Step 6: Final answer
    x = 15,137.82

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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.