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Finding the Fourth Proportional to 14,082.30, 19,435.41 and 8,114.22

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Solution

The fourth proportional to 14,082.30, 19,435.41 and 8,114.22 is: 11,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.30 : 19,435.41 = 8,114.22 : x
  2. Step 2: Convert to fraction form
    14,082.30/19,435.41 = 8,114.22/x
  3. Step 3: Cross multiply
    14,082.30x = 19,435.41 × 8,114.22
  4. Step 4: Simplify right side
    14,082.30x = 157,703,192.53
  5. Step 5: Solve for x
    x = 157,703,192.53/14,082.30
  6. Step 6: Final answer
    x = 11,198.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.