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Finding the Fourth Proportional to 12,082.14, 18,123.48 and 9,621.90

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Solution

The fourth proportional to 12,082.14, 18,123.48 and 9,621.90 is: 14,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.14 : 18,123.48 = 9,621.90 : x
  2. Step 2: Convert to fraction form
    12,082.14/18,123.48 = 9,621.90/x
  3. Step 3: Cross multiply
    12,082.14x = 18,123.48 × 9,621.90
  4. Step 4: Simplify right side
    12,082.14x = 174,382,312.21
  5. Step 5: Solve for x
    x = 174,382,312.21/12,082.14
  6. Step 6: Final answer
    x = 14,433.07

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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.