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Finding the Fourth Proportional to 14,048.70, 19,391.12 and 8,082.29

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Solution

The fourth proportional to 14,048.70, 19,391.12 and 8,082.29 is: 11,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.70 : 19,391.12 = 8,082.29 : x
  2. Step 2: Convert to fraction form
    14,048.70/19,391.12 = 8,082.29/x
  3. Step 3: Cross multiply
    14,048.70x = 19,391.12 × 8,082.29
  4. Step 4: Simplify right side
    14,048.70x = 156,724,517.90
  5. Step 5: Solve for x
    x = 156,724,517.90/14,048.70
  6. Step 6: Final answer
    x = 11,155.80

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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.